On semiabelian -regular rings.
Chen, Weixing (2007)
International Journal of Mathematics and Mathematical Sciences
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Chen, Weixing (2007)
International Journal of Mathematics and Mathematical Sciences
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Agayev, Nazim, Güngöroğlu, Gonca, Harmanci, Abdullah, Halicioğlu, S. (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Angelina Y. M. Chin (2002)
Czechoslovak Mathematical Journal
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Let be an associative ring with identity and let denote the Jacobson radical of . is said to be semilocal if is Artinian. In this paper we give necessary and sufficient conditions for the group ring , where is an abelian group, to be semilocal.
Huanyin Chen, Miaosen Chen (2005)
Czechoslovak Mathematical Journal
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It is shown that a ring is a -ring if and only if there exists a complete orthogonal set of idempotents such that all are -rings. We also investigate -rings for Morita contexts, module extensions and power series rings.