Homotopy of Lie-Rinehart Crossed Module Morphisms

Year 2019, Volume: 9 Issue: 1, 202 - 212, 28.06.2019

Ayşe Çobankaya Selim Çetin

Abstract

In this paper our aim is to give the concept homotopy of morphisms of Lie-Rinehart crossed modules. We show that the homotopy relation gives rise to an equivalence relation. Additionally a groupoid structure of Lie- Rinehart crossed module morphisms and their homotopies.

Keywords

Lie-Rinehart algebra, Crossed modules, Derivations, Homotopy

Lie-Rinehart Çapraz Modül Morfizimlerinin Homotopisi

Abstract

Bu makalede amacımız Lie-Rinehart çapraz modüllerin morfizmlerinin homotopi kavramını vermektir. Homotopi bağıntısı bir denklik bağıntısı oluşturduğunu, buna ek olarak Lie- Rinehart çapraz modül morfizmleri ve homotopileri bir groupoid yapısı olduğunu gösterdik.

Keywords

Lie-Rinehart Cebir, Çapraz Modüller, Türevler, Homotopi

References

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