Displaying similar documents to “Almost Abelian rings”

Central Armendariz rings.

Agayev, Nazim, Güngöroğlu, Gonca, Harmanci, Abdullah, Halicioğlu, S. (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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A note on semilocal group rings

Angelina Y. M. Chin (2002)

Czechoslovak Mathematical Journal

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Let R be an associative ring with identity and let J ( R ) denote the Jacobson radical of R . R is said to be semilocal if R / J ( R ) is Artinian. In this paper we give necessary and sufficient conditions for the group ring R G , where G is an abelian group, to be semilocal.

Extensions of G M -rings

Huanyin Chen, Miaosen Chen (2005)

Czechoslovak Mathematical Journal

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It is shown that a ring R is a G M -ring if and only if there exists a complete orthogonal set { e 1 , ⋯ , e n } of idempotents such that all e i R e i are G M -rings. We also investigate G M -rings for Morita contexts, module extensions and power series rings.