SHANDONG SCIENCE ›› 2017, Vol. 30 ›› Issue (2): 110-102.doi: 10.3976/j.issn.1002-4026.2017.02.016

• Other Research Article • Previous Articles     Next Articles

Left semiregular B-quasi-Ehresmann semigroups

LI Gang, HU Yu-ying   

  1. School of Mathematical Science, Shandong Normal University, Jinan 250014, China
  • Received:2016-05-17

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.

Key words: B-quasi-Ehresmann semigroup, left semiregular band, B-Ehresmann semigroup, left regular band, regular band

CLC Number: 

  • O152.7