On the structure of distributive and Bezout rings with waists

Miguel Ferrero; Ryszard Mazurek

doi:10.1515/form.2005.17.2.191

Published by De Gruyter July 27, 2005

On the structure of distributive and Bezout rings with waists

Miguel Ferrero and Ryszard Mazurek

From the journal Forum Mathematicum

https://doi.org/10.1515/form.2005.17.2.191

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Abstract

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.

Published Online: 2005-07-27

Published in Print: 2005-03-11

On the structure of distributive and Bezout rings with waists

Abstract

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