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Automorphisms of the Semigroup of all Relations on a Set

Published online by Cambridge University Press:  20 November 2018

Kenneth D. Magill Jr.*
Affiliation:
State University of New York at Buffalo
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An automorphism Φ of a semigroup S is said to be an inner automorphism if there exists a unit u in S such that

for each a in S.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Clifford, A. H. and Preston, G. B., The Algebraic Theory of Semigroups. Mathematical Surveys, Number 7, Amer. Math. Soc. 1961.Google Scholar
2. Ljapin, E.S., Semigroups, Vol. 3, Translations of Mathematical Monographs, Amer. Math. Soc., 1963.Google Scholar
3. Ljapin, E.S., Abstract Characterization of Certain Semigroups of Transformations. Leningrad. Gos. Ped. Inst. Ucen. Zap. 103 (1955), 5-Z9 (Russian).Google Scholar
4. Malćev, A. L, Symmetric Groupoids, Mat. Sb. (N. S.) 31 (73) (1952), 136-151. (Russian).Google Scholar
5. Schreier, I., Uber Abbiidungen einer abstrakten Menge auf ihre Teilmenge. Fund. Math. 28(1936), 261-264.Google Scholar