Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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RINGS CLOSE TO SEMIREGULAR

  • Aydogdu, Pinar (Department of Mathematics Hacettepe University) ;
  • Lee, Yang (Department of Mathematics Education Pusan National University) ;
  • Ozcan, A. Cigdem (Department of Mathematics Hacettepe University)
  • Received : 2010.11.09
  • Published : 2012.05.01
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Abstract

A ring $R$ is called semiregular if $R/J$ is regular and idem-potents lift modulo $J$, where $J$ denotes the Jacobson radical of $R$. We give some characterizations of rings $R$ such that idempotents lift modulo $J$, and $R/J$ satisfies one of the following conditions: (one-sided) unit-regular, strongly regular, (unit, strongly, weakly) ${\pi}$-regular.

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References

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