On Simplicial Leibniz Algebras

Yıl 2020, Cilt: 10 Sayı: 2, 1224 - 1232, 01.06.2020

Ali Aytekin

https://doi.org/10.21597/jist.657475

Öz

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.

Anahtar Kelimeler

Leibniz algebra, simplicial object, crossed module

Simplisel Leibniz Cebirler Üzerine

Öz

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

Anahtar Kelimeler

Leibniz cebir, simplisel obje, çaprazlanmış modül

Kaynakça

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