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Upper middle annihilators

Published online by Cambridge University Press:  17 April 2009

Patrick N. Stewart
Patrick N. Stewart
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie Univeristy, Halifax, Nova Scotia, Canada B3H 3J5
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Abstract

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Each ring contains a unique smallest ideal which when factored out yields a ring with zero middle annihilator. Various results concerning this ideal are obtained including theorems about how it behaves in connection with normalising extensions and smash products.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 441 - 449
Copyright
Copyright © Australian Mathematical Society 1988

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