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Chain conditions and semigroup graded rings
Published online by Cambridge University Press: 09 April 2009
Abstract
The following questions are studied: When is a semigroup graded ring left Noetherian, respectively semiprime left Goldie? Necessary sufficient conditions are proved for cancellative semigroup-graded subrings of rings weakly or strongly graded by a polycyclic-by-finite (unique product) group. For semigroup rings R[S] we also give a solution to the problem in case S is an inverse semigroup.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 45 , Issue 3 , December 1988 , pp. 372 - 380
- Copyright
- Copyright © Australian Mathematical Society 1988
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