On Simplicial Leibniz Algebras

Abstract

Aim of this paper is to define simplicial object in category of Leibniz algebras and to show the equivalence between the category of simplicial Leibniz algebras and the category of crossed modules over Leibniz algebras.

Keywords

• Leibniz algebra,simplicial object,crossed module

Simplisel Leibniz Cebirler Üzerine

Abstract

Bu makalenin temel amacı, Leibniz cebirler kategorisinde simplisel objeyi tanımlayarak, simplisel Leibniz cebirler kategorisi ile Leibniz cebirler üzerinde çaprazlanmış modüller kategorisinin denkliğini göstermektir.

Keywords

• Leibniz cebir,simplisel obje,çaprazlanmış modül

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