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On Graded 2-Absorbing and GradedWeakly 2-Absorbing Primary Ideals

Ahmad Yousefian Darani|Fatemeh Soheilnia
경북대학교 자연과학대학 수학과|2017.12|Kyungpook Mathematical Journal|제57권 제4호|pp. 559-580

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참고문헌

키워드

Graded ringsGraded primary idealsGraded weakly primary idealsGraded 2-absorbing primary idealsGraded weakly 2-absorbing primary ideals
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초록

Let $G$ be an arbitrary group with identity $e$ and let $R$ be a $G$-graded ring. In this paper, we define the concept of graded $2$-absorbing and graded weakly $2$-absorbing primary ideals of commutative $G$-graded rings with non-zero identity. A number of results and basic properties of graded $2$-absorbing primary and graded weakly $2$-absorbing primary ideals are given.

Abstract

Let $G$ be an arbitrary group with identity $e$ and let $R$ be a $G$-graded ring. In this paper, we define the concept of graded $2$-absorbing and graded weakly $2$-absorbing primary ideals of commutative $G$-graded rings with non-zero identity. A number of results and basic properties of graded $2$-absorbing primary and graded weakly $2$-absorbing primary ideals are given.

참고문헌 (17)

  1. D. D. Anderson, "Weakly prime ideals", Houston J. Math., 29, pp.831~840 (2003)
  2. D. D. Atani, "On weakly primary ideals", Georgian Math. J., 12(3), pp.423~429 (2005)
  3. S. E. Atani, "On Graded Weakly Primary Ideals", Quasigroups and Related Systems, 13, pp.185~191 (2005)
  4. S. E. Atani, "On Graded Weakly Prime Ideals", Turk. J. Math., 30, pp.351~358 (2006)
  5. D. F. Anderson, "On n-absorbing ideals on commutative rings", Comm. Algebra, 39, pp.1646~1672 (2011)
  6. A. Badawi, "On 2-absorbing ideals of commutative rings", Bull. Austral. Math. Soc., 75, pp.417~429 (2007)
  7. Ayman Badawi, "On 2-absorbing primary ideals in commutative rings", 대한수학회보, 51(4), pp.1163~1173 (2014), 대한수학회
  8. Ayman Badawi, "ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS", 대한수학회지, 52(1), pp.97~111 (2015), 대한수학회
  9. A. Badawi, "On weakly 2-absorbing ideals of commutative rings", Houston J. Math., 39, pp.441~452 (2013)
  10. A. Y. Darani, "On 2-absorbing and weakly 2-absorbing submodules", Thai J. Math, 9, pp.577~584 (2011)
  11. A. Y. Darani, "On n-absorbing submodules", Math. Commun, 17, pp.547~557 (2012)
  12. H. Mostafanasab, "2-irreducible and strongly 2-irreducible ideals of commutative rings", Miskols. Math. Note, 17(1), pp.441~455 (2016)
  13. C. Nastasescu, "Graded Ring Theory" (1982), North Holand
  14. D. G. Northcott, "Lessons on Rings, Modules and Multiplicities" (1968), Cambridge Univ. Press
  15. F. V. Oystaeyen, "Generlize rees rings and arithmetical graded rings", J. Algebra, 82, pp.185~193 (1983)
  16. M. Refai, "On Graded Primary Ideals", Turk. J. Math., 28, pp.217~229 (2004)
  17. M. Refai, "Graded Radicals and Graded Prime Spectra", Far East Journal of Mathematical Sciences, (part I), pp.59~73 (2000)

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