On the variety of equality algebras

DOI

10.2991/eusflat.2011.1How to use a DOI?

Keywords

Equality algebra, BCK-algebra, 1regular, congruence permutable, congruence distributive variety

Abstract

Equality algebras has recently been introduced. A subclass of equality algebras, called equivalential equality algebras is closely related to BCK-algebras with meet. We show that the variety of equality algebras has nice properties: We shall investigate their congruences and filters and prove that the variety of equality algebras is a 1-regular, arithmetic variety.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Sándor Jenei
AU  - László Kóródi
PY  - 2011/08
DA  - 2011/08
TI  - On the variety of equality algebras
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 153
EP  - 155
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.1
DO  - 10.2991/eusflat.2011.1
ID  - Jenei2011/08
ER  -