On the primitive representations of the group of units of a ring of the symmetric group of the nonunits

DOI10.1016/0022-4049(94)90011-6zbMath0811.16035OpenAlexW2089682573MaRDI QIDQ1331911

Jo-Ann D. Cohen, J. W. Michael Lorimer, Kwangil Koh

Publication date: 23 April 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90011-6

zbMATH Keywords

finite fieldcompact ringsregular actioncompact Boolean ring

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Topological and ordered rings and modules (16W80) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• On the group actions of the units on non-units in a compact ring
• The group of units in a compact ring
• Dual numbers, Witt vectors, and Hjelmslev planes
• Finite chain rings
• Topological Rings