Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

On the variety of equality algebras

Authors
Sándor Jenei, László Kóródi
Corresponding Author
Sándor Jenei
Available Online August 2011.
DOI
https://doi.org/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.
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Proceedings
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.1How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Sándor Jenei
AU  - László Kóródi
PY  - 2011/08
DA  - 2011/08
TI  - On the variety of equality algebras
PB  - Atlantis Press
SP  - 153
EP  - 155
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.1
DO  - https://doi.org/10.2991/eusflat.2011.1
ID  - Jenei2011/08
ER  -