THE GROUP OF UNITS IN A LEFT ARTINIAN RING

  • Han, Juncheol (Dept. of Mathematics, Kosin Univ.)
  • Published : 1994.02.01

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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