扭部分作用与群的半格的群扩张
Twisted partial actions and extensions of semilattices of groups by groups
摘要：
本文引入了群$A$的半格由群$G$扩张的概念，并描述了这类扩张等价于$G$在$A$上的扭曲部分作用$Θ$的交叉积$A*_ΘG$.因此，我们建立了一个一对一的对应关系，直到同构，扭曲的部分作用的群半格和所谓的Sieben扭曲模块上的$E$ -酉逆半群。
英文摘要：
We introduce the concept of an extension of a semilattice of groups $A$ by a group $G$ and describe all the extensions of this type which are equivalent to the crossed products $A*_ΘG$ by twisted partial actions $Θ$ of $G$ on $A$. As a consequence, we establish a one-to-one correspondence, up to an isomorphism, between twisted partial actions of groups on semilattices of groups and so-called Sieben twisted modules over $E$-unitary inverse semigroups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
