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Paper   IPM / M / 460
School of Mathematics
  Title:   Cofinite modules
  Author(s):  S. Yassemi
  Status:   Published
  Journal: Comm. Algebra
  No.:  6
  Vol.:  29
  Year:  2001
  Pages:   2333-2340
  Supported by:  IPM
  Abstract:
The R-module M is called a F A module if there exists finite submodule N such that M/N is Artinian, and is called an A F module if there exists Artinian submodule A such that M/A is finite. We show that if M and K are F A (or A F ) modules with Supp (K) ⊆ V(\fraka) then ExtiR(K,H\frakaj(M)) is finite for all i ≥ 0 and j > 0, if R is local and \fraka is an ideal of dimension one or principal.


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