Abstract
Let (R, đȘ) be a Noetherian local ring. For an integer s â„ -1 and an Artinian R-module A, we introduce the notion of A-cosequence in dimension > s and show that the set of all attached primes [Formula: see text] satisfying dim (R/đ) â„ s is a finite set whenever (x1, âŠ, xk) is an A-cosequence in dimension > s. As an application, we give a finiteness result for attached primes of certain Artinian local cohomology modules of a finitely generated R-module.
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