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Semiperfect rings with
abelian adjoint group
W. K. Nicholson |
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Vol. 54 (1974), No. 1, 201–207
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Abstract |
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A structure theorem is proved for semiperfect rings (possibly with no identity) which have an abelian adjoint group. This is used to give conditions when such a ring is finite or commutative. In particular, a semiperfect ring with identity is finite if its group of units is finitely generated and abelian. Additional information is obtained if the adjoint group is cyclic. |
Mathematical Subject Classification
Primary: 16A48
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Milestones
Received: 8 May 1973
Revised: 25 September 1973
Published: 1 September 1974
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Authors |
| W. K. Nicholson | |
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