Remarks on the separation of the \(Aa\)-adic topology and permutations of \(M\)-sequences. (English) Zbl 0588.13022
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 \(a\).
Reviewer: W.Wiesław
MSC:
13J99 | Topological rings and modules |
13E05 | Commutative Noetherian rings and modules |
54D10 | Lower separation axioms (\(T_0\)–\(T_3\), etc.) |
13C13 | Other special types of modules and ideals in commutative rings |