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ArticleOriginal scientific text

Title

Equivalential algebras with conjunction on the regular elements

Authors 1

Affiliations

  1. Institute of Mathematics, Pedagogical University of Krakow, Kraków

Abstract

We introduce the definition of the three-element equivalential algebra R with conjunction on the regular elements. We study the variety generated by R and prove the Representation Theorem. Then, we construct the finitely generated free algebras and compute the free spectra in this variety.

Keywords

ENG
Fregean varieties, equivalential algebras, free algebras, free spectra

Bibliography

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Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
2021/20
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Pages:
63-75
Main language of publication
English
Published
2021-07-30