DOI QR코드

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ON THE WEAK ARTINIANNESS AND MINIMAX GENERALIZED LOCAL COHOMOLOGY MODULES

  • Gu, Yan
  • Received : 2012.03.21
  • Published : 2013.11.30

Abstract

Let R be a commutative Noetherian ring, I an ideal of R, M and N two R-modules. We characterize the least integer i such that $H^i_I(M,N)$ is not weakly Artinian by using the notion of weakly filter regular sequences. Also, a local-global principle for minimax generalized local cohomology modules is shown and the result generalizes the corresponding result for local cohomology modules.

Keywords

generalized local cohomology modules;weak Artinianness;minimax module

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