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ON GRADED WEAKLY CLASSICAL PRIMARY SUBMODULES

Khaldoun Al-Zoubi|FARAH AL-TURMAN
장전수학회 (Jangjeon Mathematical Society)|2018.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제21권 제3호|pp. 405-412|DOI 10.17777/pjms.2018.21.3.008

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참고문헌

키워드

graded weakly primary submodulesgraded classical primary submodulesgraded weakly classical primary submod ules
주제분류수학

초록

Let G be a group with identity e: Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded weakly classical primary submodules. Various properties of graded weakly classical primary submodules are considered.

Abstract

Let G be a group with identity e: Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded weakly classical primary submodules. Various properties of graded weakly classical primary submodules are considered.

참고문헌 (13)

  1. K. Al-Zoubi, "On graded weakly primary submodules"
  2. K. Al-Zoubi, "On graded classical prime and graded prime submodules", Bull. Iranian Math. Soc., 41(1), pp.217~225 (2015)
  3. K. Al-Zoubi, "On graded classical primary submodules", Advances in Pure and Applied Mathematics, 7(2), pp.93~96 (2016)
  4. R. Abu-Dawwas, "On graded weakly classical prime submodules", Iran. J. Math. Sci. lnform., 12(1), pp.153~161 (2017)
  5. S. E. Atani, "On graded prime submodules", Chiang Mai. J. Sci., 33(1), pp.3~7 (2006)
  6. S. E. Atani, "On graded weakly prime submodules", Int. Math. Forum, 1(2), pp.61~66 (2006)
  7. S. E. Atani, "On graded weakly prime ideals", Turk. J. Math., 30, pp.351~358 (2006)
  8. S. E. Atani, "On graded weakly primary ideals", Quasigroups and related systems, 13, pp.185~191 (2005)
  9. S. E. Atani, "On graded secondary modules", Turk. J. Math., 31, pp.371~378 (2007)
  10. C. Nastasescu, "Graded Ring Theory, Mathematical Library 28" (1982)
  11. C. Nastasescu, "Methods of Graded Rings. LNM 1836" (2004), Springer-Verlag
  12. K. H. Oral, "On graded prime and primary submodules", Turk. J. Math., 35, pp.159~167 (2011)
  13. M. Refai, "On graded primary ideals", Turk. J. Math., 28, pp.217~229 (2004)

관련 논문AI추천

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