Have a personal or library account? Click to login
The Zariski Topology on the Graded Primary Spectrum Over Graded Commutative Rings Cover

The Zariski Topology on the Graded Primary Spectrum Over Graded Commutative Rings

Open Access
|Nov 2019

References

  1. [1] AL-ZOUBI, K.—QARQAZ, F.: An intersection condition for graded prime ideals, Boll. Unione Mat. Ital. 11 (2018), 483–488.10.1007/s40574-017-0148-7
  2. [2] MUNKRES, J. R.: Topology. A a first course, Prentice-Hall, Inc. XVI, Englewood Cliffs, New Jersey, 1975.
  3. [3] NĂSTĂSESCU, C.—VAN OYSTAEYEN, F.: Graded and Filtered Rings and Modules. In: Lecture Notes in Math., Vol. 758, Springer-Verlag, Berlin, 1979.10.1007/BFb0067331
  4. [4] _______ Graded Ring Theory. In: textslMathematical Library, Vol. 28, North-Holand Publishing Co., Amsterdam-New York, 1982.
  5. [5] _______ Methods of Graded Rings.In: Lecture Notes in Math., Vol. 1836, Springer-Verlag, Berlin, 2004.
  6. [6]ÖZKIRIŞCI, N. A.—KILIÇ, Z.—KOÇ, S.: A note on primary spectrum over commutative rings, An. Ştiinţ. Univ. Al. I. Cuza Iaşi.Mat.(N.S.) 64 (2018), no. 1, 111–119.
  7. [7] OZKIRISCI, N. A.—ORAL, K. H.—TEKIR, U.: Graded prime spectrum of a graded module, Iran J.Sci.Technol. 37A3 (2013), 411–420.
  8. [8] REFAI, M.: On properties of G-spec(R), Sci. Math. Jpn. 53 (2001), no. 3,411–415.10.1186/BF03353250
  9. [9] REFAI, M.—AL-ZOUBI, K.: On graded primary ideals,Turkish. J.Math. 28 (2004), no. 3, 217–229.
  10. [10] REFAI, M.—HAILAT, M.—OBIEDAT, S.: Graded radicals on graded prime spectra, Far East J. of Math. Sci. (FJMS) Spec. Vol., Part I, (2000), 59–73.
  11. [11] UREGEN, R. N.—TEKIR, U.—ORAL, K. H.: On the union of graded prime ideals, 14, no. 1, 114–118; https://doi.org/10.1515/phys-2016-0011.10.1515/phys-2016-0011
DOI: https://doi.org/10.2478/tmmp-2019-0015 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 7 - 16
Submitted on: Feb 28, 2019
Published on: Nov 15, 2019
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 Khaldoun Al-Zoubi, Malik Jaradat, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.