Units, isomorphisms and automorphisms of crossed products of up-groups1

DOI10.1080/00927879608825711zbMath0856.16028OpenAlexW2038936981MaRDI QIDQ4889399

J. M. Dimitrova, S. V. Mihovski

Publication date: 9 January 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825711

zbMATH Keywords

unitsnilpotent elementsgroups of automorphismsisomorphism problemminimal prime idealstwisted group ringsorthogonal systems of idempotentscrossed products of up-groupscrossed products over simple ringsorthogonally decomposable units

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Automorphisms and endomorphisms (16W20) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Twisted and skew group rings, crossed products (16S35) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• Prime rings satisfying a generalized polynomial identity
• On the automorphisms of the group ring of a unique product group
• A note on u.p. groups
• Idempotents in group rings
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