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Topological dimension of pseudo-prime spectrum of modules

Hajar Roshan-Shekalgourabi|Dawood Hassanzadeh-Lelekaami
대한수학회 (The Korean Mathematical Society)|2017.07|대한수학회논문집 (Communications of the KMS)|제32권 제3호|pp. 553-563

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참고문헌

키워드

Zariski topologyNoetherian spacepseudo-prime submoduletopological modulecombinatorial dimension
주제분류수학

초록

Different topological dimensions related to the pseudo-prime spectrum of topological modules are studied. An example of topological modules is introduced. Also, we give a result about Noetherianness of the pseudo-prime spectrum of topological modules.

Abstract

Different topological dimensions related to the pseudo-prime spectrum of topological modules are studied. An example of topological modules is introduced. Also, we give a result about Noetherianness of the pseudo-prime spectrum of topological modules.

참고문헌 (9)

  1. A. Barnard, "Multiplication modules", J. Algebra, 71(1), pp.174~178 (1981)
  2. N. Bourbaki, "Elements of Mathematics. Commutative Algebra" (1972), Addison-Wesley, Publish-ing Co.
  3. M. P. Brodmann, "Local Cohomology an Algebraic Introduction with Geometric Applications" (1998), Cambridge Univercity Press
  4. Z. A. El-Bast, "Multiplication modules", Comm. Algebra, 16(4), pp.755~779 (1988)
  5. D. Hassanzadeh-Lelekaami, "Pseudo-prime submodules of modules", Math. Rep. (Bucur.), 18(68)(4), pp.591~608 (2016)
  6. I. Kaplansky, "Commutative rings" (1974), University of Chicago Press
  7. C.-P. Lu, "A module whose prime spectrum has the surjective natural map", Houston J. Math, 33(1), pp.125~143 (2007)
  8. H. Matsumura, "Commutative ring theory" (1986), Campridge University, Press
  9. J. Ohm, "Rings with Noetherian spectrum", Duke Math. J, 35, pp.631~640 (1968)

관련 논문AI추천

Torsion modules and spectral spacesHajar Roshan-Shekalgourabi대한수학회 · 대한수학회논문집2019 · 제34권 제1호On Noetherian pseudo-prime spectrum of a topological le-moduleAnjan Kumar Bhuniya, Manas Kumbhakar대한수학회 · 대한수학회논문집2023 · 제38권 제1호On the topological structure of spectrum of intuitionistic L-fuzzy prime submodulesKanchan, P. K. Sharma기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제2호On the Classical Zariski Topology Over Prime Spectrum of a ModuleMUSTAFA ALKAN, Seçil ÇEKEN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호Second classical Zariski topology on second spectrum of lattice modulesNarayan Phadatare, Pradip Girase, Vandeo Borkar강원경기수학회 · 한국수학논문집2020 · 제28권 제3호A NOTE ON GRADED RING WITH PRIME SPECTRUMMUSTAFA ALKAN, ORTAC ONES장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호

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