The group of units in a compact ring

DOI10.1016/0022-4049(88)90028-XzbMath0662.16025OpenAlexW1977807285MaRDI QIDQ1113267

Kwangil Koh, Jo-Ann D. Cohen

Publication date: 1988

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(88)90028-x

zbMATH Keywords

group of unitsactionsregular actionfinite compact ringsunion of orbits

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) 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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Topological and ordered rings and modules (16W80) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

On the primitive representations of the group of units of a ring of the symmetric group of the nonunits ⋮ A note on commutators in the group of infinite triangular matrices over a ring ⋮ Compact rings having a finite simple group of units ⋮ Regular action in a ring with a finite number of orbits ⋮ Half-transitive group actions in a compact ring ⋮ The n-insertive subgroups of units

Cites Work

• A classification of finite rings by zero divisors
• Compact rings
• A Note on the Continuity of the Inverse
• Topological Rings
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