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Remarks on the separation of the \(Aa\)-adic topology and permutations of \(M\)-sequences (Q1073108)

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scientific article; zbMATH DE number 3943998
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English
Remarks on the separation of the \(Aa\)-adic topology and permutations of \(M\)-sequences
scientific article; zbMATH DE number 3943998

    Statements

    Remarks on the separation of the \(Aa\)-adic topology and permutations of \(M\)-sequences (English)
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    1985
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    Let \(M\) be a non-zero, finite module over a noetherian ring \(A\). It is well known that if \(A\) is a local ring, then every permutation of an \(M\)-sequence is an \(M\)-sequence. In the paper under review the author studies modules \(M\) which satisfy the condition that the \(Aa\)-adic topology on \(M\) is separated for every \(M\)-regular element \(a\).
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    separated adic topology
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    finite module over a noetherian ring
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    permutation of an \(M\)-sequence
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