pa-BCL+ Algebras and Groups

Authors

Yonghong Liu, School of Automation, Wuhan University of Technology, 430070 Wuhan, ChinaFollow

Author Country (or Countries)

China

Abstract

A BCL+ algebras can be considered as a fragment of propositional logic containing only a logical connective implication a binary operation → and 1 which is interpreted as the value true. This paper offers a new abstract structure, which is called the pseudoassociation BCL+ algebras (simply pa-BCL+ algebras). Because of its origin in BCL+ algebras, we increase the pseudo-association law and ordered structure, but the connection is not a simple derivation, it involved groups, abelian and semigroups. We will give some concepts and characterizations in the pa-BCL+ algebras. As a result, the pa-BCL+ algebras have more complex algebraic structures.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110329

Recommended Citation

Liu, Yonghong (2017) "pa-BCL+ Algebras and Groups," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 29.
DOI: http://dx.doi.org/10.18576/amis/110329
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/29