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On balanced one-sided ideals
Published online by Cambridge University Press: 17 April 2009
Abstract
The relation between the subclass X of balanced one-sided ideals, which contains all two-sided ideals, and weakly prime one-sided ideals is considered. If a member P of X is prime, then it is prime in its idealizer I (P). Furthermore, if the ring is left and right noetherain, then I (P) modulo P is a prime Goldie ring.
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- Copyright © Australian Mathematical Society 1986
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