This website requires JavaScript.

# Cohomology and crossed modules extension of Hom-Leibniz-Rinehart algebras

Feb 2022

In this paper, we introduce the concept of crossed module forHom-Leibniz-Rinehart algebras. We study the cohomology and extension theory ofHom-Leibniz-Rinehart algebras. It is proved that there is one-to-onecorrespondence between equivalence classes of abelian extensions ofHom-Leibniz-Rinehart algebras and the elements of second cohomology group.Furthermore, we prove that there is a natural map from $\alpha$-crossed modulesextension of Hom-Leibniz-Rinehart algebras to the third cohomology group ofHom-Leibniz-Rinehart algebras.

Q1论文试图解决什么问题？
Q2这是否是一个新的问题？
Q3这篇文章要验证一个什么科学假设？
0