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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 90
   School of Mathematics
  Title: Reduced atomic chains of Artinian modules
  Author(s):
1 . K. Divaani-Aazar
2 . Sh. Payrovi
  Status: Published
  Journal: Southeast Asian Bull. Math.
  Vol.: 23
  Year: 1999
  Pages: 221-230
  Supported by: IPM
  Abstract:
Let R be a commutative ring. It is shown that every Artinian R-module A possesses an atomic chain CA:A=A0A1 ⊃ … ⊃ An−1An=0 so that AttR (A)={ AnnR (Ai−1/ Ai): i=1,…,n}. Also Artinian modules A, for which there exists an atomic chain CA such that length of CA is equal to |AttR(A)| are studied.

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