On some extensions of the class of MV-algebras

Krystyna Mruczek-Nasieniewska

DOI: http://dx.doi.org/10.12775/LLP.2015.010

Abstract


In the present paper we will ask for the lattice L(MVEx) of subvarieties of the variety defined by the set Ex(MV) of all externally compatible identities valid in the variety MV of all MV-algebras. In particular, we will find all subdirectly irreducible algebras from the classes in the lattice L(MVEx) and give syntactical and semantical characterization of the class of algebras defined by P-compatible identities of MV-algebras.

Keywords


MV-algebra; variety; identity; P-compatible identity; equational base; subdirectly irreducible algebras

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References


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ISSN: 1425-3305 (print version)

ISSN: 2300-9802 (electronic version)

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