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LEFT COTORSION RINGS

Published online by Cambridge University Press:  28 April 2004

PEDRO A. GUIL ASENSIO  and
IVO HERZOG
PEDRO A. GUIL ASENSIO
Affiliation:
Departamento de Matemáticas, Universidad de Murcia, 30100 Espinardo, Murcia, Spainpaguil@um.es
IVO HERZOG
Affiliation:
The Ohio State University at Lima, Lima, OH 45804, USAherzog.23@osu.edu
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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.

Keywords

16D5016D9016L30
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 3 , May 2004 , pp. 303 - 309
Copyright
© The London Mathematical Society 2004

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