Homotopy of Lie-Rinehart Crossed Module Morphisms

Öz

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.

Anahtar Kelimeler

• Lie-Rinehart algebra,Crossed modules,Derivations,Homotopy

Lie-Rinehart Çapraz Modül Morfizimlerinin Homotopisi

Öz

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.

Anahtar Kelimeler

• Lie-Rinehart Cebir,Çapraz Modüller,Türevler,Homotopi

Kaynakça

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