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Laws in groupoids derived from semigroups

Published online by Cambridge University Press:  17 April 2009

Ann Chi Kim
Ann Chi Kim
Affiliation:
Department of Mathematics, Busan National University, Pusan, Korea 607.
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Abstract

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A simple change of the operation in a commutative semigroup leads to a groupoid. It is shown that it has no finite basis for its laws.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 3 , December 1982 , pp. 385 - 392
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Neumann, Hanna, “On varieties of groups and their associated nearrings”, Math. Z. 65 (1956), 36–69.Google Scholar
[2]Tarski, A., “Equational logic and equational theories of algebras”, Contributions to Mathematical Logic, 274–288 (Proceedings of the Logic Colloquium, Hannover, 1966. North-Holland, Amsterdam, 1968).Google Scholar