Equivalential algebras with conjunction on the regular elements

Sławomir Przybyło · Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica · 2021

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.

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