TY - JOUR
TI - Lie Algebras with BCL Algebras
PY - 2018/04/27
Y2 - 2024/07/21
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 11
IS - 2
LA - en
DO - 10.29020/nybg.ejpam.v11i2.3219
UR - https://doi.org/10.29020/nybg.ejpam.v11i2.3219
SP - 444-448
AB - 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.
ER -