半群的Cwrpp Rees根的扩张结构  

On the Extension Structure of Cwrpp Rees Radical of Semigroups

作　　者：高振林[1] 许成苏[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2012年第6期604-607,共4页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(11201299)

摘　　要：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.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.

关 键 词：Cwrpp半群 Cwrpp根 强Cwrpp Rees根 Cwrpp根扩张 

分 类 号：O152.7[理学—数学]