Group rings that are UJ rings

DOI10.1080/00927872.2020.1871000zbMath1476.16024OpenAlexW3134295352MaRDI QIDQ4994030

Jan Žemlička, Muhammet Tamer Koşan

Publication date: 14 June 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1871000

zbMATH Keywords

Jacobson radicalsolvable groupgroup ringunitcommutator subgrouplocally finite 2-grouptrivial Morita contextUJ-rings

Mathematics Subject Classification ID

Group rings (16S34) Jacobson radical, quasimultiplication (16N20) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Group rings in which every element is uniquely the sum of a unit and an idempotent.
• An introduction to group rings
• Rings of quotients of generalized matrix rings
• OnUJ-rings
• A generalization of UJ-rings
• UNJ-Rings
• Remarks on the Jacobson radical
• The p.p. property of trivial extensions