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Strongly right FBN rings

Published online by Cambridge University Press:  17 April 2009

Heakyung Lee
Heakyung Lee
Affiliation:
Department of Mathematics, Winthrop College, Rock Hill, SC. 29733, United States of America.
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Abstract

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The annihilator of a finite generated β-critical module is called a β-coprimative ideal. A prime ideal P is called β-prime if the Krull dimension of R/P is β. This paper is concerned with the relationship between the set of β-prime ideals and the set of minimal β-coprimitive ideals over a strongly right FBN ring. it is shown that there exists a one-to-one correspondence between the set of β-prime ideals and the set on minimal β-coprimitive ideals over a strongly right FBN ring R for −1 < β ≤ α, where α is the Krull dimension of R.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 457 - 464
Copyright
Copyright © Australian Mathematical Society 1988

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