Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 31 Issue 1
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- Pages.99-104
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- 1994
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
THE GROUP OF UNITS IN A LEFT ARTINIAN RING
Abstract
Let R be a left Artinian ring with identity 1 and let G be the group of units of R. It is shown that if G is finite, then R is finite. It is also shown that if 2.1 is a unit in R, then G is abelian if and only if R is commutative.
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