fair偏序半群的Morita等价  

MORITA EQUIVALENCE OF FAIR POSEMIGROUPS

作　　者：李洋 刘红星 Li Yang;Liu Hongxing(School of Mathematics and Statistics,Shandong Normal University,250358,Jinan,China)

机构地区：[1]山东师范大学数学与统计学院,济南250358

出　　处：《山东师范大学学报（自然科学版）》2018年第3期265-270,共6页Journal of Shandong Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11701339)

摘　　要：设S是满足WRDP的右fair偏序半群且U(S)具有公共弱右局部单位.本文首先介绍了fair偏序半群的一些基本概念和结论,然后给出了这类半群的U(S)的性质,并证明了两半群的酉右S-偏序范畴等价当且仅当两半群闭的右S-偏序范畴等价.最后给出了这类半群Morita等价的等价刻画.Let S be a fair semigroup whose unitary part has common weak right local units. First, we give some basic notions and results on fair posemigroups which is used in this paper. Then we give some properties of U（S） and prove that Pos - US is equivalent to Pos - UT if and only if Pos - FS is equivalent to Pos - FT. Moreover, we obtain equivalent characterizations of Morita equivalence of these semigroups.

关 键 词：偏序半群 fair偏序半群 MORITA等价 S-偏序集 Morita理论 

分 类 号：O152.7[理学—数学]