Abundant semigroups with a quasi-ideal quasi-adequate transversal

作者：Ni Xiang Fei^*; Luo Yan Feng; Chao Hai Zhou

来源：Acta Mathematica Sinica-English Series, 2009, 25(10): 1653-1664.

DOI：10.1007/s10114-009-8014-x

• abundant semigroup
• quasi-ideal
• Q-transversal

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.

• 出版日期2009-10
• 单位兰州大学