Torsionfree modules over one-dimensional Noetherian rings

DOI10.1016/0022-4049(88)90141-7zbMath0657.13008OpenAlexW1970314208WikidataQ126321751 ScholiaQ126321751MaRDI QIDQ1110577

David E. Rush

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)90141-7

zbMATH Keywords

Noetherian ringtorsionfree modulesBass ringpower cancellationoperation of the group of unitssummand cancellation

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items

Direct sums of ideals ⋮ Cancellation and direct summands in dimension 1 ⋮ Rings with two-generated ideals

Cites Work

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• Cancellation over commutative rings of dimension one and two
• Stable isomorphism of modules over one-dimensional rings
• Dedekind-like behavior of rings with 2-generated ideals
• On the ubiquity of Gorenstein rings
• Injective Dimension in Noetherian Rings