CONDITIONS FOR A PRODUCT OF RESIDUE-CLASS RINGS OF A RING TO BE GENERATED BY Ap-GROUP OF UNITS

DOI10.1081/AGB-200047399zbMath1070.16029MaRDI QIDQ4678648

Hideyasu Kawai

Publication date: 23 May 2005

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

zbMATH Keywords

group algebrasgroups of unitshomomorphic imagescommutative algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60) Structure of finite commutative rings (13M05) Arithmetic rings and other special commutative rings (13F99)

Related Items (2)

Commutative group algebras whose quotient rings by nilradicals are generated by idempotents. ⋮ Commutative rings over which algebras generated by idempotents are quotients of group algebras

Cites Work

• ALGEBRAS GENERATED BY IDEMPOTENTS AND COMMUTATIVE GROUP ALGEBRAS OVER A RING
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