论文标题
关于霍普和霍姆组行动
On Hom-Groups and Hom-Group actions
论文作者
论文摘要
一个群体是一个群体的非缔合性概括，其关联性和统一性被兼容的徒图扭曲。在本文中，我们给出了一些新的hom群体示例，并展示了同构象同构的第一个和第二个同构基本定理。我们还介绍了Hom-Group动作的概念，作为一种应用，我们展示了第一个沿小组动作线的Hom-Group的Sylow定理。
A Hom-group is the non-associative generalization of a group, whose associativity and unitality are twisted by a compatible bijective map. In this paper, we give some new examples of Hom-groups, and show the first and the second isomorphism fundamental theorems of homomorphisms on Hom-groups. We also introduce the notion of Hom-group action, and as an application, we show the first Sylow theorem for Hom-groups along the line of group actions.
