Abundant semigroups with a quasi-ideal quasi-adequate transversal

Authors
Fei Ni, Xiang Luo, Yan Feng Chao, Hai Zhou
Citation
Fei Ni, Xiang et al., Abundant semigroups with a quasi-ideal quasi-adequate transversal, Acta mathematica Sinica. English series (Print) , 25(10), 2009, pp. 1653-1664
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
10
Year of publication
2009
Pages
1653 - 1664
Database
ACNP
SICI code
Abstract
Characterization theorems for abundant semigroups having a quasi-ideal quasi-adequate transversal are obtained. Our results generalize and amplify the related results of Satio on regular semigroup obtained in 1985 and Kong obtained in 2007 respectively. Some recent results on this topic given by Guo-Shum are strengthened. In particular, the structure of such an abundant semigroup is described.