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LEFT COTORSION RINGS

Published online by Cambridge University Press:  28 April 2004

PEDRO A. GUIL ASENSIO
Affiliation:
Departamento de Matemáticas, Universidad de Murcia, 30100 Espinardo, Murcia, [email protected]
IVO HERZOG
Affiliation:
The Ohio State University at Lima, Lima, OH 45804, [email protected]
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Abstract

It is proved that if $R$ is an associative ring that is cotorsion as a left module over itself, and $J$ is the Jacobson radical of $R$, then the quotient ring $R/J$ is a left self-injective von Neumann regular ring and idempotents lift modulo $J$. In particular, if $R$ is indecomposable, then it is a local ring.

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Type
Papers
Copyright
© The London Mathematical Society 2004

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