On BI-Algebras-Reference-Cited by-同舟云学术

On BI-Algebras

Published:2017-01-26 Issue:1 Volume:25 Page:177-194
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Saeid Arsham Borumand¹,Kim Hee Sik²,Rezaei Akbar³

Affiliation:

1. Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman , Iran

2. Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul , 04763, Korea

3. Department of Mathematics, Payame Noor University, p.o.box. 19395-3697, Tehran , Iran

Abstract

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.

Publisher

Walter de Gruyter GmbH

Reference23 articles.

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4. [4] W. Y. Chen and J. S. Oliveira, Implication algebras and the metropolis rota axioms for cubic lattices, J. Algebra 171(1995), 383-396.

5. [5] J. R. Cho and H. S. Kim, On B-algebras and quasigroups, Quasigroups and Related Systems 8(2001), 1-6.

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