“School of Mathematics”
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| Paper IPM / M / 90 |
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| Abstract: | |||||
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Let R be a commutative ring. It is shown
that every Artinian R-module A possesses an atomic chain CA:A=A0 ⊃ A1 ⊃ … ⊃ An−1 ⊃ An=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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