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        <title>Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Feed</title>
        <link>https://reference-global.com/journal/AUOM</link>
        <description>Reference Global RSS Feed for Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică</description>
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            <title>Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Feed</title>
            <url>https://paradigm-files.s3.eu-central-1.amazonaws.com/AUOM/cover-image.jpg</url>
            <link>https://reference-global.com/journal/AUOM</link>
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        <copyright>All rights reserved 2026, Ovidius University of Constanta</copyright>
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        <item>
            <title><![CDATA[Fractal nonlocal thermoelastic dynamics of imperfect curved functionally graded nanobeam with memory effect]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0024</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0024</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[This study presents an exact analytical investigation into the vibrational behavior of imperfect curved nanobeams under uniform thermal conditions, incorporating fractal geometry to model material heterogeneity at multiple scales. The analysis employs a combined nonlocal–strain gradient model to account for scale-dependent behavior and introduces a memory-dependent constitutive model to reflect time-history influences. Material properties vary through the thickness according to a temperature-dependent modified power-law, accounting for porosity induced during manufacturing. The governing equations, derived via Timoshenko beam theory with memory and fractal effects, are solved using the Navier method. Results are validated against existing literature and emphasize the influence of nonlocality, porosity, thermal loading, gradient index, geometry, fractal scaling, and memory effects on natural frequencies. The study confirms that memory-dependent and fractal behaviors significantly affect dynamic responses, offering benchmark solutions for future research on functionally graded nanostructures with porosity and time-dependent effects.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[ℓ-generalized prime factors counting functions]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0019</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0019</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[To study the number of extra prime factors beyond the first ℓ − 1 occurrences of a prime p in the factorization of an integer n, this paper introduces the ℓ-generalized prime factors counting arithmetic function ΩA,ℓ. Key results include the Dirichlet series, an exact summatory formula, and the asymptotic mean. In addition, a distributional limit result is derived using Kubilius model and Kolmogorov three sreies theorem.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Sums of bases-exponents positive integer powers]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0025</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0025</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[We consider natural numbers that can be represented as sums of positive integer powers greater than 1, such that the set of bases coincides with the set of exponents. We address this issue by indicating some equalities and relations, defining some new integer sequences recently introduced in the OEIS, reporting some experimental results and showing some graphs regarding the obtained numbers.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[3-Parameter Generalized Quaternions and Dual Quaternions with Repunit Number Components]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0022</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0022</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper, our first aim is to combine the 3-parameter generalized quaternions, which are a general form of the quaternion algebra according to 3-parameters, and repunit numbers, which are created by integer numbers that are expressed in the decimal system as the repetition of the unit. That is, we determine a special new number system called 3-parameter generalized quaternions with repunit number components. Then, we construct a Maple code of this special number sequence. Additionally, we get some new and classical well-known equations such as Binet formulas, generating functions (usual, exponential, and Poisson), polar representation, and Cassini and Catalan identities. In addition to these, we express determinant property, characteristic polynomial, characteristic equation, eigenvalues, and eigenvectors concerning the matrix representation of repunit 3-parameter generalized quaternions. Next, the other purpose is to combine the dual quaternions with the repunit numbers. With the same manner of first aim and structure, we construct a new recurrence sequence, which is called dual quaternions with repunit number components.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[On the Hilbert depth of the quotient ring of the edge ideal of a star graph]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0017</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0017</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[Let Sn = K[x1, . . . , xn, y] and In = (x1y, x2y, . . . , xny) ⊂ Sn be the edge ideal of star graph. We prove that hdepth 



(Sn/In)≥⌈ n2 ⌉+⌊ n ⌋-2
\left( {S_n /I_n } \right) \ge \left\lceil {{n \over 2}} \right\rceil  + \left\lfloor {\sqrt n } \right\rfloor  - 2


. Also, we show that for any ε &gt; 0, there exists some integer A = A(ε) ≥ 0 such that hdepth 



(Sn/In)≤⌈ n2 ⌉+⌊ εn ⌋+A−2
(S_n/I_n) \leq \lceil \frac{n}{2} \rceil + \lfloor \varepsilon n \rfloor + A - 2


. We deduce that 



limn→∞1nhdepth(Sn/In)=12
\lim_{n \to \infty} \frac{1}{n} hdepth(S_n/I_n) = \frac{1}{2}


.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[A note on the extension of some triangular Diophantine sets]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0018</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0018</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[Let n be an integer. We call a set of m distinct positive integers a triangular D(n)-m-tuple if the product of its two distinct elements increased by n is the triangular number. In this paper, we consider the extension of the triangular D(k)-pair {k, 2k}, for k = 10 and k = 28, and prove that such a set cannot be extended to a quadruple.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[About on the obtaining of some quantum code parameters from (−2vm−1 + 1)-constacyclic codes over the ring R = 𝔽q + v𝔽q + · · · + vm−1𝔽q]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0020</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0020</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[In this study, the hull dimensions of (−2vm−1 +1)-constacyclic codes over the ring R = 𝔽q + v𝔽q + · · · + vm−1𝔽q with vm = v are determined. In addition, by using a special Gray map, a necessary condition is given under which the generator polynomial of a (−2vm−1 + 1)-constacyclic code over R yields, through the polynomial representation of the Gray map, the generator polynomial of the corresponding cyclic code over Fq. Later, an example is presented showing that the parameters of a quantum error-correcting code over Fq can be obtained from a (−2vm−1 +1)-constacyclic code over R by means of the X-construction method. Furthermore, the case in which the number of (−2vm−1 + 1)-constacyclic codes of length n over R equals the number of cyclic codes of length 2n over Fq is examined, and an example is provided in which the parameters of the quantum error-correcting codes arising from those cyclic codes—which are Gray images of (−2vm−1 + 1)-constacyclic codes over R—are presented.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Another inequality inspired by Erdős]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0016</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0016</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[One less common inequality in positive integers is carefully examined.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Convergence analysis of an iterative algorithm for generalized nonexpansive mappings in Hadamard manifolds]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0021</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0021</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[This paper presents a novel iterative scheme for approximating fixed points of generalized nonexpansive mappings in Hadamard manifolds. Under mild and standard conditions on the control parameters, we establish comprehensive convergence results for the algorithm. We further introduce an iterative framework for addressing inclusion problems associated with these mappings. Numerical experiments are included to highlight the efficiency and improved performance of the proposed method relative to existing algorithms.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Existence results for a class of hemivariational-like inequality problems]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0023</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0023</guid>
            <pubDate>Sat, 11 Jul 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[In this work, we establish existence results for a class of hemivariational-like inequality problems driven by a trifunction and perturbed by a bifunction. Initially, we establish solvability results based on the weak compactness of the constraint set. Subsequently, under appropriate coercivity conditions and in the absence of boundedness of the constraint set, we show the existence results and boundedness properties of the solution set. Furthermore, several theoretical applications are provided, and a necessary and sufficient condition for the existence of solutions to a particular subclass of these problems is derived.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Bipolar Fuzzy n-Fold Positive Implicative and Fantastic Filters in Hoop Algebras with Applications to Fuzzy Logic]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0004</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0004</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper, we introduce and study the notion of bipolar fuzzy n-fold positive implicative filters within the framework of hoop algebras, and examine their fundamental properties. We also define and investigate bipolar fuzzy n-fold fantastic filters, thereby extending bipolar fuzzy set theory into a multi-valued logical setting. In addition, we explore the relationships between bipolar fuzzy n-fold positive implicative filters and other related classes of bipolar fuzzy filters, including fuzzy n-fold implicative filters and bipolar fuzzy n-fold fantastic filters. This work offers a detailed analysis of the structural characteristics and interrelations among these filters, contributing to the broader development of non-classical algebraic logic and fuzzy systems. Several illustrative examples are provided to support and clarify the theoretical results.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Some lattice theoretical results on non-Euclidean graphs]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0007</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0007</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[This paper develops a unified framework connecting lattice theory and suborbital graphs, with particular focus on Farey graph. By equipping the Farey graph with lattice structures, we reveal new combinatorial and algebraic properties. Essential element graphs, Hasse diagrams, and integer sequences for vertices and edges are systematically explored. This study distinguishes itself from previous studies by expanding proofs, consolidating definitions, and providing illustrative examples. Our results demonstrate how a lattice perspective can enrich theoretical and applied research in number theory, geometry, and network science.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Karush-Kuhn-Tucker Necessary Optimality Conditions for (h, φ)ɛ-Multiobjective Optimization Problems Based on Pseudo-Avriel-Ben-Tal Algebraic Operations]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0003</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0003</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper it is introduced a new generalized pseudo-operation with one parameter of the following form: x ⊕ɛ y = h−1(h(x) + ɛh(y)), where h is an n vector-valued continuous function, defined on a subset H of ℝn and possessing an inverse function h−1, ɛ is an arbitrary but fixed positive real number. Five kinds of cones are introduced, which are used to establish the constraint qualifications. The generalized Karush-Kuhn-Tucker necessary optimality conditions are developed for a class of generalized (h, φ)ɛ-differentiable single-objective programming problems and then for multiobjective programming problems, by using this generalized pseudo-operations, an extension of Avriel-Ben-Tal algebraic operations. The results obtained in this paper generalize and extend previous results obtained in this field. At the same time, in the final chapter, a cryptographic application using Ben-Tal type operators is presented.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[On The (De)Homogenization of Sagbi-Gröbner Bases for Modules]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0008</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0008</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[This article explores the behavior of Sagbi-Gröbner bases for modules over polynomial subalgebras under the process of homogenization and dehomogenization. We prove that the Sagbi-Gröbner basis for submodules over subalgebras behaves well in these processes, as the property of being a Sagbi-Gröbner basis is preserved under homogenization and dehomogenization.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Quaternion-Based Representation of Rotation Minimizing Motions in Euclidean 3-space]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0001</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0001</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[This paper presents a quaternion-based framework for constructing rotation-minimizing motions in Euclidean 3-space, formulated via quaternion operator. By introducing a novel quaternion operator, we derive angular velocity representations directly from the quaternion derivative and its conjugate, enabling smooth and minimal-rotation motion. The proposed approach generates rotation-minimizing motions whose trajectories are aligned with the orbits of a given spatial curve, and it offers a convenient mechanism to compute the corresponding quaternion representation when the orbit and a spatial position are specified. The effectiveness of the method is demonstrated through numerical experiments involving the spherical indicatricestangent, normal, and binormal-of space curves. Additionally, we provide a geometric characterization of quaternionic helical curves with respect to the tangential image T, highlighting the theoretical and practical implications of the proposed model in motion design and spatial kinematics.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[On 2-nil Primary Ideals of Commutative Rings]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0011</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0011</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[The present article addresses the concept of 2-nil primary ideals in commutative rings, expanding the comprehension of ideal categories such as 2-nil, 2-absorbing ideals, and quasi-primary ideals. The study explores the characteristics and connections of 2-nil primary ideals, offering a comprehensive framework for understanding their significance in ring theory. The paper presents examples and arguments that illustrate the relationships between 2-nil primary ideals and other well-known classes of ideals, such as prime, primary, and n-ideals, while highlighting their differences. Furthermore, we investigate how the 2-nil primary ideal behaves under homomorphisms, quotients, localization, products, and idealizations.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Interpolative contractions on perturbed metric spaces]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0009</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0009</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[In the present paper, we propose a new notion, namely, the interpolative contractions in the context of the perturbed metric spaces. For these mappings, we give a fixed-point result and provide an example to support the advances brought by the new results. Moreover, we give extend our results and provide a Meir-Keeler type fixed-point result in perturbed metric spaces.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Fixed point theory in admissible acyclic dominated spaces]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0010</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0010</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[In this paper we present Lefschetz type fixed point theorems for maps defined on admissible acyclic dominated spaces.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Hamiltonicity of doubly semi-equivelar maps on the torus]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0012</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0012</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[There are 22 types of doubly semi-equivelar maps, with curvature 0, on the plane which provide infinitely many doubly semi-equivelar maps of respective types on the torus. In this article, we show that every such doubly semi-equivelar map on the torus contains a Hamiltonian cycle. As a consequence, we establish the Nash-Williams conjecture for the graphs associated with these doubly semi-equivelar maps by showing that these graphs are either 3-connected or 4-connected.]]></description>
            <category>ARTICLE</category>
        </item>
        <item>
            <title><![CDATA[Convolution features of univalent meromorphic functions generated by Barnes-Mittag-Leffler function]]></title>
            <link>https://reference-global.com/article/10.2478/auom-2026-0014</link>
            <guid isPermaLink="false">/article/10.2478/auom-2026-0014</guid>
            <pubDate>Fri, 15 May 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[The Mittag-Leffler function plays an important role in Geometric Function Theory, particularly in the study of analytic and meromorphic function classes. Among its various generalizations, the Barnes-Mittag-Leffler function stands out due to its intricate structure and applications in diverse mathematical fields. In this paper, our main focus is to investigate the convolution properties of these functions and establish conditions that ensure specific geometric characteristics. Additionally, we explore membership relations for functions in these classes. The results obtained in this work are novel, and their significance is demonstrated through various illustrative consequences and corollaries, emphasizing their potential impact in function theory and its applications.]]></description>
            <category>ARTICLE</category>
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