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左半正则B-拟-Ehresmann半群
引用本文:左半正则B-拟-Ehresmann半群. 左半正则B-拟-Ehresmann半群[J]. 山东科学, 2017, 30(2): 110-102. DOI: 10.3976/j.issn.1002-4026.2017.02.016
作者姓名:左半正则B-拟-Ehresmann半群
作者单位:山东师范大学数学科学学院,山东 济南 250014
基金项目:国家自然科学基金(11601288)
摘    要:良B-拟-Ehresmann半群是幂等元子带B满足一些条件的半群,其中B被称为投射带。纯整半群、型W半群、纯整超rpp半群和投射纯整幺半群都是良B-拟-Ehresmann半群。本文刻画了投射带是左半正则带的良B-拟-Ehresmann半群。

关 键 词:B-拟-Ehresmann半群  B-Ehresmann半群  左正则带  左半正则带  正则带  
收稿时间:2016-05-17

Left semiregular B-quasi-Ehresmann semigroups
LI Gang,HU Yu-ying. Left semiregular B-quasi-Ehresmann semigroups[J]. Shandong Science, 2017, 30(2): 110-102. DOI: 10.3976/j.issn.1002-4026.2017.02.016
Authors:LI Gang  HU Yu-ying
Affiliation:School of Mathematical Science, Shandong Normal University, Jinan 250014, China
Abstract:A good B-quasi-Ehresmann semigroup is a semigroup which has a subband B satisfying some additional conditions, in which B is called the band of projection. Orthodox semigroups, type W semigroups, orthodox supper rpp semigroups and projective orthomonoids are all good B-quasi-Ehresmann semigroups. In this paper, the characterizations of good B-quasi-Ehresmann semigroups with left semiregular bands of projections are exhibited.
Keywords:B-quasi-Ehresmann semigroup  left semiregular band  B-Ehresmann semigroup  left regular band   regular band  
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