\({\mathbb{Z}}G_ n\)-modules, \(G_ n\) cyclic of square-free order n

DOI10.1016/0021-8693(85)90165-6zbMath0596.13010OpenAlexW2017804908MaRDI QIDQ1078254

Lawrence S. Levy

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90165-6

zbMATH Keywords

Dedekind-like ringsfinitely generated modules over the integral group ring

Mathematics Subject Classification ID

Group rings (16S34) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Other special types of modules and ideals in commutative rings (13C13)

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Cites Work

• Krull-Schmidt uniqueness fails dramatically over subrings of Z\(\oplus\dots \oplus Z\)
• Modules over Dedekind-like rings
• Mixed modules over ZG, G cyclic of prime order, and over related Dedekind pullbacks
• On representations of finite groups over valuation rings
• Unnamed Item
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