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ON DUAL ZARISKI TOPOLOGY OVER GRADED COMULTIPLICATION MODULES

Rashid Abu-Dawwas|Azzh Saad Alshehry
대한수학회 (The Korean Mathematical Society)|2021.01|대한수학회논문집 (Communications of the KMS)|제36권 제1호|pp. 11-18|DOI 10.4134/CKMS.c200156

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참고문헌

키워드

Zariski topologyGraded comultiplication modulesgraded second modules
주제분류수학

초록

In this article, we deal with Zariski topology on graded comultiplication modules. The purpose of this article is obtaining some connections between algebraic properties of graded comultiplication modules and topological properties of dual Zariski topology on graded comultiplication modules.

Abstract

In this article, we deal with Zariski topology on graded comultiplication modules. The purpose of this article is obtaining some connections between algebraic properties of graded comultiplication modules and topological properties of dual Zariski topology on graded comultiplication modules.

참고문헌 (12)

  1. R. Abu-Dawwas, "Comultiplication modules over strongly graded rings", Intern. J. Pure Appl. Math, 81(5,), pp.693~699 (2012)
  2. R. Abu-Dawwas, "Graded weak comultiplication modules", Hokkaido Math. J, 48(2,), pp.253~261 (2019)[DOI]
  3. H. Ansari-Toroghy, "Graded comultiplication modules", Chiang Mai J. Sci, 38(3), pp.311~320 (2011)
  4. H. Ansari-Toroghy, "On graded second modules", Tamkang Journal of Mathematics, 43(4), pp.499~505 (2012), Tamkang Journal of Mathematics[DOI]
  5. S. E. Atani, "On graded weakly prime submodules", Int. Math. Forum, 1(1-4), pp.61~66 (2006)[DOI]
  6. S. E. Atan, "On graded secondary modules", Turkish J. Math, 31(4), pp.371~378 (2007)
  7. S. C¸ eken, "On graded second and coprimary modules and graded secondary representations", Bull. Malays. Math. Sci. Soc, 38(4), pp.1317~1330 (2015)[DOI]
  8. F. Farzalipour, "On the union of graded prime submodules", Thai J. Math, 9(1), pp.49~55 (2011)
  9. F. Farzalipour, "On graded weak multiplication modules", Tamkang J. Math, 43(2,), pp.171~177 (2012)[DOI]
  10. C. N˘ast˘asescu, "Lecture Notes in Mathematics, 1836" (2004), Springer-Verlag
  11. O. Ones, "Dual Zariski topology on comultiplication modules", Sakarya Univ. J. Sci, 23(3), pp.390~395 (2019)
  12. M. Refai, "Graded radicals and graded prime spectra", Far East J. Math. Sci, 2000(Special Volume, Part I), pp.59~73

관련 논문AI추천

On Graded Quasi-Prime SubmodulesKhaldoun Al-Zoubi, Rashid Abu-Dawwas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제2호A NOTE ON GRADED RING WITH PRIME SPECTRUMMUSTAFA ALKAN, ORTAC ONES장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호Topological dimension of pseudo-prime spectrum of modulesDawood Hassanzadeh-Lelekaami, Hajar Roshan-Shekalgourabi대한수학회 · 대한수학회논문집2017 · 제32권 제3호On the Classical Zariski Topology Over Prime Spectrum of a ModuleMUSTAFA ALKAN, Seçil ÇEKEN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호Torsion modules and spectral spacesHajar Roshan-Shekalgourabi대한수학회 · 대한수학회논문집2019 · 제34권 제1호Second classical Zariski topology on second spectrum of lattice modulesNarayan Phadatare, Pradip Girase, Vandeo Borkar강원경기수학회 · 한국수학논문집2020 · 제28권 제3호

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