标题： 半代数上的部分群表示 显示英文标题

标题： Partial Group Representations on Semialgebras

摘要： 设$A$是一个在加法可消去的半域$K$上的加法可消去的半代数，如[9]中所定义。 对于给定的群$G$在代数上的部分作用$\alpha$，M. Dokuchaev 和 R. Exel [2] 研究了部分扭曲群环的结合性以及包络（全局）作用的存在性和唯一性，这些结果由 Sharma 等人[3]在一些限制下扩展到半代数，并使用差分环进行研究。 以类似的方式，我们扩展了[2,3]中关于半代数的部分表示的结果。 显示英文摘要

摘要： Let $A$ be an additively cancellative semialgebra over an additively cancellative semifield $K$ as defined in [9]. For a given partial action $\alpha$ of a group $G$ on an algebra, the associativity of partial skew group ring together with the existence and uniqueness of enveloping (global) action were studied by M. Dokuchaev and R. Exel [2] which were extended for semialgebras with some restriction by Sharma et. al. using the ring of differences. In a similar way, we extend the results of [2,3] for semialgebras regarding partial representations.