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Miguel Ferrero, Ryszard Mazurek

On the structure of distributive and Bezout rings with waists

Let T be a right chain ring with non-zero maximal ideal J. In this paper we study subrings R of T containing J and determine conditions for R to be a right distributive (right Bezout) ring. As a consequence we obtain a structure theorem for semiprime right distributive (right Bezout) rings with non-zero left waists.

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 17, 03/2005
Pages: 191 - 198

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