Lie Algebras with BCL Algebras

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i2.3219

Keywords:

Lie algebras, $BCL$ algebras, abelian Lie algebras

Abstract

The subject matter of this work is hoping for a new relationship between the Lie algebras and the algebra of logic, which will constitute an important part of our study of "pure'' algebra theory. $BCL$ algebras as a class of logical algebras is can be generated by a Lie algebra. The opposite is also true that when special conditions occur. The aim of this paper is to prove several theorems on Lie algebras with $BCL$ algebras. I introduce the notion of a "pseudo-association'' which I propose as the adjoint notion of $BCL$ algebra in the abelian group.

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Published

2018-04-27

Issue

Vol. 11 No. 2: (April 2018)

Section

Algebraic Geometry

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How to Cite

Lie Algebras with BCL Algebras. (2018). European Journal of Pure and Applied Mathematics, 11(2), 444-448. https://doi.org/10.29020/nybg.ejpam.v11i2.3219