title: |
On the variety of equality algebras |
|
publication: |
||
part of series: |
Advances in Intelligent Systems Research | |
| pages: | 153 - 155 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Sándor Jenei1 |
|
publication date: |
July 2011 |
|
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: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
|
full text: |