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Finite direct products of finite cyclic semigroups and their characterization

Published online by Cambridge University Press:  14 November 2011

D. C. Trueman
D. C. Trueman
Affiliation:
Monash University, Clayton, Victoria, Australia
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Synopsis

We prove that a finite semigroup which is decomposable into a direct product of cyclic semigroups which are not groups is uniquely so decomposable, and show how the non-group cyclic direct factors of a finite semigroup, if they exist, can be found.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 85 , Issue 3-4 , 1980 , pp. 337 - 351
Copyright
Copyright © Royal Society of Edinburgh 1980

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References

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