On infinite modules \(M\) over a Dedekind domain for which \(N\cong M\) for every submodule \(N\) of cardinality \(|M|\)

DOI10.1216/RMJ-2009-39-1-259zbMath1166.13014OpenAlexW2085616509MaRDI QIDQ1011142

Greg G. Oman

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2009-39-1-259

Mathematics Subject Classification ID

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

Related Items (3)

On modules \(M\) for which \(N\cong M\) for every submodule \(N\) of size \(|M|\) ⋮ Modules Which are Isomorphic to Their Factor Modules ⋮ More results on congruent modules

Cites Work

• On the number of normal subgroups of an uncountable soluble group
• On infinite groups
• Modules Over Dedekind Rings and Valuation Rings
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