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On right self-injective regular semigroups, II

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

Kunitaka Shoji
Kunitaka Shoji
Affiliation:
Department of Mathematics Shimane UniversityMatsue, Shimane, Japan
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Abstract

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It is shown that a semigroup is right self-injective and a band of groups if and only if it is isomorphic to the spined product of a self-injective semilattice of groups and a right self-injective band. A necessary and sufficient condition for a band to be right self-injective is given. It is shown that a left [right] self-injective semigroup has the [anti-] representation extension property and the right [left] congruence extension property.

MSC classification

Secondary: 20M10: General structure theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 2 , April 1983 , pp. 182 - 198
Copyright
Copyright © Australian Mathematical Society 1983

References

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