Finiteness Properties of Minimax and -Minimax Generalized Local Cohomology Modules

作者:Kianezhad A*; Taherizadeh A J
来源:Ukrainian Mathematical Journal, 2013, 65(6): 884-890.
DOI:10.1007/s11253-013-0825-3

摘要

Let R be a commutative Noetherian ring with nonzero identity, let a be an ideal of R, and let M and N be two (finitely generated) R-modules. We prove that is a minimax -cofinite R-module for all i %26lt; t, t a , if and only if is a minimax -module for all i %26lt; t. We also show that, under certain conditions, is minimax (t a ). Finally, we study necessary conditions for to be -minimax.

  • 出版日期2013-11

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