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Matrix representations of semigroups

Published online by Cambridge University Press:  24 October 2008

W. D. Munn
W. D. Munn
Affiliation:
The UniversityGlasgow
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Extract

In a previous paper, the author gave necessary and sufficient conditions for the algebra of a finite semigroup S over a field of suitable characteristic to be semisimple. When this algebra is semisimple, the matrix representations of S over are completely reducible.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 1 , January 1957 , pp. 5 - 12
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

(1)Clifford, A. H.Matrix representations of completely simple semigroups. Amer. J. Math. 64 (1942), 327–42.CrossRefGoogle Scholar
(2)Munn, W. D.On semigroup algebras. Proc. Camb. Phil. Soc. 51 (1955), 1–15.CrossRefGoogle Scholar
(3)Munn, W. D. and Penrose, R.A note on inverse semigroups. Proc. Camb. Phil. Soc. 51 (1955), 396–99.CrossRefGoogle Scholar
(4)Preston, G. B.Inverse semi-groups. J. Lond. Math. Soc. 29 (1954), 396–403.CrossRefGoogle Scholar
(5)Preston, G. B.Representations of inverse semi-groups. J. Lond. Math. Soc. 29 (1954), 411–19.CrossRefGoogle Scholar
(6)Rees, D.On semi-groups. Proc. Camb. Phil. Soc. 36 (1940), 387–400.CrossRefGoogle Scholar
(7)Vagner, V. V.Generalized groups. C.R. Acad. Sci. U.R.S.S. 84 (1952), 1119–22 (in Russian).Google Scholar