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Constructions preserving the associative and the commutative laws

Published online by Cambridge University Press:  09 April 2009

A. Shafaat
A. Shafaat
Affiliation:
Département de Mathématiques Faculté des Sciences, Université Laval, Québec G1K 7P4, Canada.
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Abstract

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The associative and the commutative laws are characterized by preservation under the construction of powers and addition of a (new) unit element. This is used to generate the varieties defined by the two laws from two element groupoids.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1976 , pp. 112 - 117
Copyright
Copyright © Australian Mathematical Society 1976

References

Bleicher, M. N., Schneider, H. and Wilson, R. L. (1973), ‘Permanence of identities on algebras’, Algebra Universalis 3, 72–93.CrossRefGoogle Scholar
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Whitney, S. (to appear), Model classes of linear theories.Google Scholar
Shafaat, A. (to appear), Power algebras of free algebras.Google Scholar