Equivalential algebras with conjunction on the regular elements

Sławomir Przybyło

doi:10.2478/aupcsm-2021-0005

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Equivalential algebras with conjunction on the regular elements

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 20 (2021): Issue 1 (January 2021)

By: Sławomir Przybyło

Open Access

|Jan 2022

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2021-0005 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 63 - 75

Submitted on: Mar 19, 2021

Accepted on: Jun 9, 2021

Published on: Jan 21, 2022

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Fregean varieties,

equivalential algebras,

Related subjects:

© 2022 Sławomir Przybyło, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 20 (2021): Issue 1 (January 2021)