Journal of Advances in Mathematics and Computer Science

Filtrations and Deductive Systems in BCL+ Algebras

Yonghong Liu *

School of Automation, Wuhan University of Technology, Wuhan, 430070, P.R. China.

*Author to whom correspondence should be addressed.

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Abstract

The aim of this paper is to introduce the two notions of filtrations and deductive systems in BCL⁺ algebras, and investigate some of their related properties. Using this, we prove that the filtration is subalgebra of BCL⁺ algebras; we also prove that the filtration of BCL⁺ algebras is a deductive system to the filtration of BCL⁺ algebras with certain relations.

Keywords: BCL algebras, BCL algebras, filtrations, deductive systems

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