Some ranks of modules over group rings

DOI10.1080/00927872.2020.1831007zbMath1504.20009arXiv2103.14825OpenAlexW3113214447MaRDI QIDQ5856291

Victor A. Bovdi, Leonid A. Kurdachenko

Publication date: 25 March 2021

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

Full work available at URL: https://arxiv.org/abs/2103.14825

zbMATH Keywords

Dedekind domainPrüfer domainspecial rankmodule over ring

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Special subgroups (Frattini, Fitting, etc.) (20D25) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Other classes of modules and ideals in associative algebras (16D80) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) General module theory in associative algebras (16D10)

Related Items

Modules over some group rings, having \(d\)-generator property

Cites Work

• Zur Darstellungstheorie der Gruppen endlicher Ordnung. I, II
• On commutative rings of finite rank
• Commutative rings with restricted minimum condition
• Certain rank conditions on groups
• Two constructions of prüfer domains.
• The n-Generator Property for Commutative Rings
• Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper.
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