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Left semi-perfect abundant semi-groups of type W

Published online by Cambridge University Press:  12 July 2007

Xiaojiang Guo  and
K. P. Shum
Xiaojiang Guo
Affiliation:
Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330027, People's Republic of China (xjguo@jxnu.edu.cn)
K. P. Shum
Affiliation:
Faculty of Science, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong SAR, People's Republic of China (kpshum@math.cuhk.edu.hk)
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Abstract

We call a quasi-adequate semi-group whose set of idempotents forms a left [right] quasi-normal band a left [right] semi-perfect abundant semi-group. After obtaining some characterization theorems of such quasi-adequate semi-groups, we establish a structure for left [right] semi-perfect abundant semi-groups of type W. Our results generalize and strengthen the results of El-Qallali and Fountain on quasi-adequate semi-groups.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 3 , June 2005 , pp. 603 - 614
Copyright
Copyright © Royal Society of Edinburgh 2005

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