Rank functions on rings derived from group rings

DOI10.1080/00927879308824663zbMath0780.16022OpenAlexW2039088329WikidataQ57571374 ScholiaQ57571374MaRDI QIDQ5286459

Jan Trlifaj

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824663

zbMATH Keywords

group algebravon Neumann regular ringsrank functionlocally finite groupidempotent endomorphismsresidually finite groupmaximal quotient ringsdirect limit of simple artinian ringsdirected union of algebrasdirectly infiniteseparating system of subgroups of finite index

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Growth rate, Gelfand-Kirillov dimension (16P90) Residual properties and generalizations; residually finite groups (20E26) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Local properties of groups (20E25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (1)

Von Neumann finite endomorphism rings.

Cites Work

• Rings derived from group rings
• Unnamed Item

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