具有左可消幺断面的拟弱适当半群  

Quasi-weakly adequate semigroups with a left cancellative monoid transeversal

作　　者：雷转 宫春梅[1] 段佳敏 LEI Zhuan;GONG Chunmei;DUAN Jiamin(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：《云南大学学报（自然科学版）》2024年第6期1021-1026,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金青年基金(12001418).

摘　　要：研究了具有左可消幺断面的拟弱适当半群的结构.证明了半群S是包含左可消幺断面的拟弱适当半群,当且仅当S是一个矩形左可消幺半群.The structure of quasi-weakly adequate semigroups with a left cancellative monoid transeversal is studied.We prove that a semigroup S is a quasi-weakly adequate semigroup with a left cancellative monoid if and only if S is a rectangular left cancellativemonoid.

关 键 词：拟弱适当半群 左可消幺半群 左可消幺断面 

分 类 号：O152.7[理学—数学]