Ranks of indecomposable modules over one-dimensional rings

DOI10.1016/0022-4049(88)90121-1zbMath0656.13017OpenAlexW4212801662MaRDI QIDQ1109833

Sylvia Wiegand

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90121-1

zbMATH Keywords

rankindecomposable torsionfree modulesone-dimensional reduced ring

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Bounds for one-dimensional rings of finite Cohen-Macaulay type ⋮ Indecomposable modules over one-dimensional noetherian rings ⋮ On the self-dual maximal Cohen-Macaulay modules ⋮ Ranks of indecomposable modules over one-dimensional rings. II ⋮ Rank-sets of indecomposable modules over one-dimensional rings

Cites Work

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• Cancellation over commutative rings of dimension one and two
• On the two generator problem for the ideals of a one-dimensional ring
• Commutative orders whose lattices are direct sums of ideals
• Integral representations and diagrams
• Stable isomorphism of modules over one-dimensional rings
• Dedekind-like behavior of rings with 2-generated ideals
• On the ubiquity of Gorenstein rings
• Groups with a finite number of indecomposable integral representations
• Some indecomposable group representations
• Algebraic \(K\)-theory