Direct sum behavior of lattices over sigma-I rings

DOI10.1016/0022-4049(88)90084-9zbMath0656.13016OpenAlexW1980983339MaRDI QIDQ1109832

Jeremy Haefner

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)90084-9

zbMATH Keywords

latticegenus class groupBass ringring-order\(\Sigma \) I-ring

Mathematics Subject Classification ID

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

Cancellation of finite-dimensional Noetherian modules

Cites Work

• Unnamed Item
• Cancellation over commutative rings of dimension one and two
• Commutative orders whose lattices are direct sums of ideals
• Stable isomorphism of modules over one-dimensional rings
• Dedekind-like behavior of rings with 2-generated ideals
• On the ubiquity of Gorenstein rings