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Congruence quasi-orderability in subtractive varieties

Part of: Algebraic structures

Published online by Cambridge University Press:  09 April 2009

Paolo Agliano
Paolo Agliano
Affiliation:
Dipartimento di Matematica, Via del Captino 15, 53100, Siena, Italy e-mail: agliano@unisi.it
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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.

Keywords

subtractive varietyquasi-orderability

MSC classification

Secondary: 08A99: None of the above, but in this section 08A30: Subalgebras, congruence relations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 71 , Issue 3 , December 2001 , pp. 421 - 446
Copyright
Copyright © Australian Mathematical Society 2001

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