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ON COATOMIC MODULES AND LOCAL COHOMOLOGY MODULES WITH RESPECT TO A PAIR OF IDEALS

Nguyen Minh Tri|Tran Tuan Nam
대한수학회 (The Korean Mathematical Society)|2017.11|대한수학회지 (Journal of the KMS)|제54권 제6호|pp. 1829-1839

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참고문헌

키워드

local cohomologycoatomic module
주제분류수학

초록

In this paper, we show some results on the vanishing and the finiteness of local cohomology moduleswith respect to a pair of ideals. We also prove that $\Supp(H^{\dim M-1}_{I,J}(M)/JH^{\dim M-1}_{I,J}(M))$ is a finite set.

Abstract

In this paper, we show some results on the vanishing and the finiteness of local cohomology moduleswith respect to a pair of ideals. We also prove that $\Supp(H^{\dim M-1}_{I,J}(M)/JH^{\dim M-1}_{I,J}(M))$ is a finite set.

참고문헌 (10)

  1. M. Aghapournahr, "Finiteness properties of minimax and coatomic local cohomology modules", Arch. Math, 94(6), pp.519~528 (2010)
  2. L. Chu, "Top local cohomology modules with respect to a pair of ideals", Proc. Amer. Math. Soc, 139(3), pp.777~782 (2011)
  3. L. Chu, "Some results on local cohomology modules defined by a pair of ideals", J. Math. Kyoto Univ, 49(1), pp.193~200 (2009)
  4. T. T. Nam, "Some results on local cohomology modules with respect to a pair of ideals", Taiwanese J. Math, 20(4), pp.743~753 (2016)
  5. M. L. Parsa, "On the vanishing properties of local cohomology modules defined by a pair of ideals", Eur. J. Pure Appl. Math, 5(1), pp.55~58 (2012)
  6. Sh. Payrovi, "Finiteness of local cohomology modules defined by a pair of ideals", Comm. Algebra, 41(2), pp.627~637 (2013)
  7. H. Saremi, "On the finiteness dimension of local cohomology modules", Algebra Colloq, 21(3), pp.517~520 (2014)
  8. R. Takahashi, "Local cohomology based on a nonclosed support defined by a pair of ideals", J. Pure Appl. Algebra, 213(4), pp.582~600 (2009)
  9. H. Zoschinger, "Koatomare moduln", Math. Z, 170(3), pp.221~232 (1980)
  10. H. Zoschinger, "Minimax moduln", J. Algebra, 102(1), pp.1~32 (1986)

관련 논문AI추천

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