弱型σ半群的结构  

Structure of weakly type σ semigroups

作　　者：宫春梅[1] 高雯 袁莹[1] GONG Chun-mei;GAO Wen;YUAN Ying(School of Science,Xi'an University of Architecture and Technology,Xi'an 710055,Shaanxi,China)

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《山东大学学报（理学版）》2020年第8期87-91,共5页Journal of Shandong University(Natural Science)

基　　金：西安建筑科技大学科技基金项目(ZR18033,ZR18035)。

摘　　要：定义了弱型σ半群,建立了弱型σ半群的拟织积结构,证明了半群S是一个弱型σ半群当且仅当S是一个半适当半群T和一个左正则带I的拟织积。The definition of weakly typeσsemigroups is given and the quasi-spinded product structure of weakly typeσsemigroups is established.It is proved that a semigroup S is a weakly typeσsemigroup if and only if S is a quasi-spinded product of a semiadequate semigroup T and a left regular band I.

关 键 词：弱型σ半群 半适当半群 左正则带 拟织积 

分 类 号：O152.7[理学—数学]