The variety of modular basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras

Authors:
Ivan Chajda;Radomír Halaš
Affiliations:
Department of Algebra and Geometry, Palacký University Olomouc, 17. listopadu 12, 779 00 Olomouc, Czech Republic;Department of Algebra and Geometry, Palacký University Olomouc, 17. listopadu 12, 779 00 Olomouc, Czech Republic
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

Basic algebras (or lattices with section antitone involutions) turned out to be appropriate structures when axiomatizing both many-valued and quantum logics, see e.g. [11]. The aim of the present paper is to describe the variety of basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras.