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An internal characterisation of strongly regular rings

Published online by Cambridge University Press:  17 April 2009

Luosheng Huang  and
Weimin Xue
Luosheng Huang
Affiliation:
Department of Mathematics, Fujian Normal University, Fuzhou Fujian 350007, Peoples Republic of China
Weimin Xue
Affiliation:
Department of Mathematics, Fujian Normal University, Fuzhou Fujian 350007, Peoples Republic of China
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Abstract

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We show that a right duo ring R is strongly regular if and only if for each ideal I of R, the coset product of I in the factor ring R/I is the same as their set product.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 3 , December 1992 , pp. 525 - 528
Copyright
Copyright © Australian Mathematical Society 1992

References

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