Left Cotorsion Rings |
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| Authors: | Asensio Pedro A Guil; Herzog Ivo |
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| Institution: | Departamento de Matemáticas, Universidad de Murcia 30100 Espinardo, Murcia, Spain paguil{at}um.es
The Ohio State University at Lima Lima, OH 45804, USA herzog.23{at}osu.edu |
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| Abstract: | It is proved that if R is an associative ring that is cotorsionas a left module over itself, and J is the Jacobson radicalof R, then the quotient ring R/J is a left self-injective vonNeumann regular ring and idempotents lift modulo J. In particular,if R is indecomposable, then it is a local ring. 2000 MathematicsSubject Classification 16D50, 16D90, 16L30. |
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