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Equivalential algebras with conjunction on the regular elements

Sławomir Przybyło
Sławomir Przybyło
   | Jan 21, 2022
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica's Cover Image
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Published Online: Jan 21, 2022
Page range: 63 - 75
Received: Mar 19, 2021
Accepted: Jun 09, 2021
DOI: https://doi.org/10.2478/aupcsm-2021-0005
Keywords
© 2021 Sławomir Przybyło, published by Sciendo
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

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.

eISSN:
2300-133X
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
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