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Congruence quasi-orderability in subtractive varieties

Published online by Cambridge University Press:  09 April 2009

Paolo Agliano
Affiliation:
Dipartimento di Matematica, Via del Captino 15, 53100, Siena, Italy e-mail: [email protected]
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Abstract

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In this paper we investigate subtractive varieties of algebras that are congruence quasi-orderable. Though this concept has its origin in abstract algebraic logic, it seems to be worth investigating in a purely algebraic fashion. Besides clarifying the algebraic meaning of this notion, we obtain several structure theorems about such varieties. Also several examples are provided to illustrate the theory.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001

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