Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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Some Properties of Regular Multiplication Rings

  • Lee, Dong-Soo (Department of Mathematics Chungnam National University) ;
  • Lee, Hyun-Bok (Department of Mathematics Chungnam National University)
  • Received : 1991.06.24
  • Published : 1991.06.30
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Abstract

Let R be a commutative ring with identity. A ring is said to be a regular multiplication ring if $A{\subseteq}B$, where A and B are ideals of R with B regular, implies that there exists an ideal C of R such that A = BC. We characterize such rings and study their properties.

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