Free Spectra of Equivalential Algebras with Conjunction on Dense Elements

Sławomir Przybyło; Katarzyna Słomczyńska

doi:10.18778/0138-0680.2024.08

Authors

Sławomir Przybyło University of the National Education Commission, Institute of Mathematics Author https://orcid.org/0000-0001-8413-6754
Katarzyna Słomczyńska University of the National Education Commission, Institute of Mathematics Author https://orcid.org/0000-0002-7957-2583

DOI:

https://doi.org/10.18778/0138-0680.2024.08

Keywords:

Fregean varieties, equivalential algebras, dense elements, free algebra, free spectra

Abstract

We construct free algebras in the variety generated by the equivalential algebra with conjunction on dense elements and compute the formula for the free spectrum of this variety. Moreover, we describe the decomposition of free algebras into directly indecomposable factors.

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