Group algebras of free products of finite groups which are CS-rings

DOI10.1142/S0219498818502249OpenAlexW2787153654MaRDI QIDQ5157737

Shoichi Kondo

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818502249

zbMATH Keywords

group algebrafree product groupcondition \((C_3)\)CS-ring

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Cites Work

• On group rings which are not Ore domains
• Rings with zero singular ideal
• Modules with a group of operators
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• On the singular ideal of a group algebra
• $KD_\infty $ is a CS-algebra
• On the Group Ring
• Polycyclic group rings whose principal ideals are projective
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