Axioms in the variety of double MS-algebras II

Jules C. Varlet; Júlia Vaz De Carvalho

Axioms in the variety of double MS-algebras II

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Abstract

In this paper¹ we complete the results of [3] and consider the problem of the determination of the conjunction and the disjunction of two axioms. We apply the results obtained to the search of equational bases for all the subvarieties of the class DMS of double MS-algebras. Finally, we determine all the subvarieties which can be characterised by exactly one of the 60 axioms which were considered in [3].

Original language	English
Pages (from-to)	391-404
Number of pages	14
Journal	Bulletin de la Societe Royale des Sciences de Liege
Volume	66
Issue number	6
Publication status	Published - 1 Dec 1997

Keywords

Double MS-algebra
Duality theory
Equational basis
Subdirectly irreducible algebra

Cite this

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N2 - In this paper1 we complete the results of [3] and consider the problem of the determination of the conjunction and the disjunction of two axioms. We apply the results obtained to the search of equational bases for all the subvarieties of the class DMS of double MS-algebras. Finally, we determine all the subvarieties which can be characterised by exactly one of the 60 axioms which were considered in [3].

AB - In this paper1 we complete the results of [3] and consider the problem of the determination of the conjunction and the disjunction of two axioms. We apply the results obtained to the search of equational bases for all the subvarieties of the class DMS of double MS-algebras. Finally, we determine all the subvarieties which can be characterised by exactly one of the 60 axioms which were considered in [3].

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KW - Duality theory

KW - Equational basis

KW - Subdirectly irreducible algebra

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Axioms in the variety of double MS-algebras II

Abstract

Keywords

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