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On the Hilbert depth of the quotient ring of the edge ideal of a star graph Cover

On the Hilbert depth of the quotient ring of the edge ideal of a star graph

Open Access
|Jul 2026

References

  1. S. Bălănescu, M. Cimpoeaş, C. Krattenthaller, On the Hilbert depth of monomial ideals, Comm. Algebra (2026), 19pp, https://doi.org/10.1080/00927872.2025.2608666
  2. S. Bălănescu, M. Cimpoeaş, On the Hilbert depth of certain monomial ideals and applications, U.P.B. Sci. Bull., Series A, 87(4) (2025), 53–66.
  3. W. Bruns, C. Krattenthaler, J. Uliczka, Stanley decompositions and Hilbert depth in the Koszul complex, J. Commut. Algebra 2(3) (2010), 327–357.
  4. W. Bruns, C. Krattenthaler and J. Uliczka, Hilbert depth of powers of the maximal ideal, Commutative algebra and its connections to geometry, Contemp. Math. 555 (2011), 1–12.
  5. S. W. Graham, G. Kolesnik, Van der Corput’s method of exponential sums, Cambridge Univ. Press, 1991.
  6. J. Uliczka, Remarks on Hilbert series of graded modules over polynomial rings, Manuscr. Math. 132 (2010), 159–168.
DOI: https://doi.org/10.2478/auom-2026-0017 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 17 - 28
Submitted on: Jun 16, 2025
Accepted on: Jan 8, 2026
Published on: Jul 11, 2026
In partnership with: Paradigm Publishing Services

© 2026 Silviu Bălănescu, Mircea Cimpoeaş, Mihai Cipu, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.