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Completely semisimple ring semigroups
Published online by Cambridge University Press: 09 April 2009
Abstract
Let R be a ring in which the multiplicative semigroup is completely semisimple. If R has the maximum (respectively, minimum) condition on principal multiplicative ideals. then R is semiprime artinian (respectively, a direct sum of dense rings of finite-rank linear transformations of vector spaces over division rings).
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 30 , Issue 2 , December 1980 , pp. 150 - 156
- Copyright
- Copyright © Australian Mathematical Society 1980
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