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Valiollah Khalili

Valiollah Khalili

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0001-9571-7394
Education: PhD.
ScopusId: 06506756814
HIndex:
Faculty: Science
Address: Arak University
Phone:

Research

Title
THE STRUCTURE OF SPLIT REGULAR BIHOM-LEIBNIZ COLOR ALGEBRAS
Type
JournalPaper
Keywords
: Hom-Leibniz algebras, BiHom-Leibniz algebras, root space, structure theory.
Year
2020
Journal ROCKY MT J MATH
DOI
Researchers Valiollah Khalili

Abstract

We introduce the class of split regular BiHom-Leibniz color algebras as the natural generalization of split regular Hom-Leibniz algebras. By developing techniques of connections of roots for this kind of algebra, we show that such a split regular BiHom-Leibniz color algebra L is of the form L = U ⊕ P [α]∈5/∼ I[α] , with U a subspace of the abelian subalgebra H and any I[α] , a well-described ideal of L, satisfying [I[α], I[β]] = 0 if [α] 6= [β]. Under certain conditions, in the case of L being of maximal length, the simplicity and the primeness of the algebra is characterized.