본문 바로가기
KERD
논문KCI 등재

Dual bass numbers and co-Cohen Macaulay modules

Lingguang Li
대한수학회 (The Korean Mathematical Society)|2018.03|대한수학회보 (Bulletin of the KMS)|제55권 제2호|pp. 499-505

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

co-localizationdual Bass numberco-Cohen Macaulay module
주제분류수학

초록

In this paper, we show that the co-localization of co-Cohen Macaulay modules preserves co-Cohen Macaulayness under a certain condition. In addition, we give a characterization of co-Cohen Macaulay modules by vanishing properties of the dual Bass numbers of modules.

Abstract

In this paper, we show that the co-localization of co-Cohen Macaulay modules preserves co-Cohen Macaulayness under a certain condition. In addition, we give a characterization of co-Cohen Macaulay modules by vanishing properties of the dual Bass numbers of modules.

참고문헌 (11)

  1. N. T. Cuong, "Top local cohomology and the catenaricity of the unmixed support of a finitely generated module", Comm. Algebra, 35(5), pp.1691~1701 (2007)[DOI]
  2. N. T. Cuong, "On representable linearly compact modules", Proc. Amer. Math. Soc., 130, pp.1927~1936 (2002)[DOI]
  3. N. T. Cuong, "On the Noetherian dimension of Artinian modules", Vietnam J. Math., 30, pp.121~130 (2002)
  4. E. Enochs, "On invariants dual to the Bass numbers", Proc. Amer. Math. Soc., 125(4), pp.951~960 (1997)[DOI]
  5. D. Kirby, "Dimension and length for Artinian modules", Quart. J. Math. Oxford Ser. (2), 41(164), pp.419~429 (1990)[DOI]
  6. L. Li, "Vanishing properties of dual Bass numbers", Algebra Colloq., 21(1), pp.167~180 (2014)[DOI]
  7. L. Melkersson, "The co-localization of an Artinian module", Proc. Edinburgh Math. Soc., 38(1), pp.121~131 (1995)[DOI]
  8. R. N. Roberts, "Krull dimension for Artinian modules over quasi local commutative rings", Quart. J. Math. Oxford Ser., 26(103), pp.269~273 (1975)[DOI]
  9. R. Y. Sharp, "Commutative algebra", pp.443~465 (1989), Springer
  10. Z. Tang, "Co-Cohen-Macaulay modules and multiplicities for Arinian modules", J. Suzhou Univ. (natural science), 12, pp.15~26 (1996)
  11. Z. Tang, "Co-Cohen-Macaulay modules and modules of generalized fractions", Comm. Algebra, 22(6), pp.2173~2204 (1994)[DOI]

이 간행물의 다른 논문 (27건)

Scalar curvature comparisons of level hypersurfaces of geodesic spheres김종률pp. 331-340Additive self-dual codes over fields of even orderSteven T. Dougherty, 김종락, 이나리pp. 341-357On closing codesSomayyeh Jangjooye Shaldehipp. 359-366On $m$-isometric Toeplitz operators이종락, 고은길pp. 367-378Existence and long-time behavior of solutions to Navier-Stokes-Voigt equations with infinite delayDang Thi Phuong Thanh, Cung The Anhpp. 379-403
원문 보기