Regular action in a ring with a finite number of orbits

DOI10.1080/00927879708825984zbMath0884.16022OpenAlexW2042673198MaRDI QIDQ4351129

Juncheol Han

Publication date: 30 September 1997

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

Full work available at URL: https://doi.org/10.1080/00927879708825984

zbMATH Keywords

Jacobson radicallocal ringssimple groupsfinite ringsmultiplicative groupsregular actionsright zero-divisorsnatural actionsunions of orbits

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Automorphisms and endomorphisms (16W20) Finite simple groups and their classification (20D05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (4)

Group actions in a unit-regular ring ⋮ Regular Action in Rings ⋮ A FINITE ADDITIVE SET OF IDEMPOTENTS IN RINGS ⋮ SUBGROUP ACTIONS AND SOME APPLICATIONS

Cites Work

• On the group actions of the units on non-units in a compact ring
• The group of units in a compact ring
• On 'Properties of rings with a finite number of zero divisors'

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