Artinian rings having a nilpotent group of units

DOI10.1016/0021-8693(89)90062-8zbMath0667.16011OpenAlexW2000132509MaRDI QIDQ1117299

Ghiocel Groza

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90062-8

zbMATH Keywords

crossed productsindecomposable Artinian ringsnilpotent unit groups

Mathematics Subject Classification ID

Units, groups of units (associative rings and algebras) (16U60) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (5)

FINITE UNITARY RINGS IN WHICH ALL SYLOW SUBGROUPS OF THE GROUP OF UNITS ARE CYCLIC ⋮ Finite unitary rings in which every subring is commutative, are commutative ⋮ NILPOTENCY OF THE GROUP OF UNITS OF A FINITE RING ⋮ Finite unitary ring with minimal non-nilpotent group of units ⋮ Finite unitary rings with a single subgroup of prime order of the group of units

Cites Work

• Observations on group rings
• Conditions which imply that subrings of artinian rings are artinian.
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