본문 바로가기
KERD
논문KCI 등재

ON GRADED 2-ABSORBING PRIMARY AND GRADED WEAKLY 2-ABSORBING PRIMARY IDEALS

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

Let $G$ be a group with identity $e$ and let $R$ be a $G$-graded ring. In this paper, we introduce and study graded 2-absorbing primary and graded weakly 2-absorbing primary ideals of a graded ring which are different from 2-absorbing primary and weakly 2-absorbing primary ideals. We give some properties and characterizations of these ideals and their homogeneous components.

Abstract

Let $G$ be a group with identity $e$ and let $R$ be a $G$-graded ring. In this paper, we introduce and study graded 2-absorbing primary and graded weakly 2-absorbing primary ideals of a graded ring which are different from 2-absorbing primary and weakly 2-absorbing primary ideals. We give some properties and characterizations of these ideals and their homogeneous components.

참고문헌 (16)

  1. K. Al-Zoubi, "On graded 2-absorbing and graded weakly 2-absorbing ideals", ~
  2. K. Al-Zoubi, "On graded classical prime and graded prime submodules", Bull. Iranian Math. Soc, 41(1), pp.217~225 (2015)
  3. D. D. Anderson, "Weakly prime ideals", Houston J. Math, 29(4), pp.831~840 (2003)
  4. S. E. Atani, "On graded weakly primary ideals", Quasigroups Related Systems, 13(2), pp.185~191 (2005)
  5. S. E. Atani, "On graded weakly prime ideals", Turkish J. Math, 30(4), pp.351~358 (2006)
  6. S. E. Atani, "On weakly primary ideals", Georgian Math. J, 12(3), pp.423~429 (2005)
  7. A. Badawi, "On 2-absorbing ideals of commutative rings", Bull. Austral. Math. Soc, 75(3), pp.417~429 (2007)
  8. A. Badawi, "On weakly 2-absorbing ideals of commutative rings", Hous-ton J. Math, 39(2), pp.441~452 (2013)
  9. Ayman Badawi, "On 2-absorbing primary ideals in commutative rings", 대한수학회보, 51(4), pp.1163~1173 (2014), 대한수학회
  10. Ayman Badawi, "ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS", 대한수학회지, 52(1), pp.97~111 (2015), 대한수학회
  11. H. Mostafanasab, "On 2-absorbing primary sub-modules of modules over commutative rings", An. St. Univ. Ovidius Constanta (2015)
  12. C. Nastasescu, "Graded Ring Theory" (1983), North Holand
  13. C. Nastasescu, "Methods of Graded Rings" (2004), Springer-Verlag
  14. S. H. Payrovi, "On the 2-absorbing ideals", Int. Math. Forum, 7(5-8), pp.265~271 (2012)
  15. S. H. Payrovi, "On the 2-absorbing ideals in commutative rings", Bull. Malays. Math. Sci. Soc, 23(4), pp.1511~1526 (2013)
  16. M. Refai, "On graded primary ideals", Turkish J. Math, 28(3), pp.217~229 (2004)

관련 논문AI추천

이 간행물의 다른 논문 (21건)