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Sets of idempotents that generate the semigroup of singular endomorphisms of a finite-dimensional vector space

Published online by Cambridge University Press:  20 January 2009

R. J. H. Dawlings
R. J. H. Dawlings
Affiliation:
Bayero University, P.M.B. 3011, Kano, Nigeria.
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If M is a mathematical system and End M is the set of singular endomorphisms of M, then End M forms a semigroup under composition of mappings. A number of papers have been written to determine the subsemigroup SM of EndM generated by the idempotents EM of End M for different systems M. The first of these was by J. M. Howie [4]; here the case of M being an unstructured set X was considered. Howie showed that if X is finite, then End X = Sx.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 25 , Issue 2 , June 1982 , pp. 133 - 139
Copyright
Copyright © Edinburgh Mathematical Society 1982

References

REFERENCES

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