<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, we introduce a new algebra, called a BI-algebra, which is a generalization of a (dual) implication algebra and we discuss the basic properties of BI-algebras, and investigate ideals and congruence relations.</p></abstract>

In this paper, we introduce a new algebra, called a BI-algebra, which is a generalization of a (dual) implication algebra and we discuss the basic properties of BI-algebras, and investigate ideals and congruence relations.

On BI-Algebras

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On BI-Algebras"}

In this paper, we introduce a new algebra, called a BI-algebra, which is a generalization of a (dual) implication algebra and we discuss the basic properties...

On BI-Algebras

Published Online: Sep 21, 2017

Page range: 177 - 194

Received: Dec 15, 2015

Accepted: Apr 30, 2016

DOI: https://doi.org/10.1515/auom-2017-0014

Keywords
BI-algebra, (right, left) distributive, congruence relation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On BI-Algebras

Published Online: Sep 21, 2017

Page range: 177 - 194

Received: Dec 15, 2015

Accepted: Apr 30, 2016

DOI: https://doi.org/10.1515/auom-2017-0014

KeywordsBI-algebra, (right, left) distributive, congruence relation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
BI-algebra, (right, left) distributive, congruence relation