半群的Cwrpp Rees根的扩张结构

摘要

With the help of ideal extension theory of semigroup, the extension structure of Cwrpp Rees radical of semigroup was studied and the structure characteristics of extension semigroup of Cwrpp Rees radical were proved. In other word, S is an extension semigroup of Cwrpp Rees radical if and only if S is a wrpp semigroup which has strong Cwrpp Rees radical. At the same time some kinds of extension structures of Cwrpp Rees radical were given and through an example the special significance of the extension semigroup was illustrated.%借助于半群的理想扩张理论,研究了半群的Cwrpp Rees根的扩张结构,证明了Cwrpp Rees 根的扩张半群的结构特征,即S是Cwrpp Rees根的扩张半群当且仅当S是有强Cwrpp Rees根的wrpp半群.同时给出了半群的Cwrpp Rees根的几种扩张结构,并通过例子表明Cwrpp Rees根的扩张半群有其独特意义.