论文标题
仿射结构对组和半插根
Affine structures on groups and semi-braces
论文作者
论文摘要
我们在组上介绍仿射结构，并表明它们构成了与半胶合的类别。特别是，这样的新描述包括由臀部的Rump提出的。通过特定的仿射结构，我们提供了几种双态牙套的实例，其中包括一些不是$λ$ - 肌形的。最后，我们给出了一种确定两组Zappa产品的仿射结构的方法，既赋予了仿射结构，又证明了这种结构允许获得与半晶套不匹配的半晶套。
We introduce affine structures on groups and show they form a category equivalent to that of semi-braces. In particular, such a new description of semi-braces includes that presented by Rump for braces. By specific affine structures, we provide several instances of bi-skew braces, including some that are not $λ$-homomorphic. Finally, we give a method for determining affine structures on the Zappa product of two groups both endowed with affine structures and prove that such a construction allows for obtaining semi-braces that are not matched product of semi-braces.
