Abstract
The aim of this article is to study a class of quasi-adequate semigroups, so-called almost factorizable idempotent-connected (IC) quasi-adequate semigroups. Our results enrich and extend the results of the second author on almost factorizable orthodox semigroups.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENTS
Some results of this article correspond to the first chapter of the first author's Master Degree Thesis supervised by the third author, to whom he is grateful. This research of the first and the third author is jointly supported by the Natural Science Foundation of Jiangxi Province; the Science Foundation of the Education Department of Jiangxi Province and the Foundation of Jiangxi Normal University; the NNSF of China, grant no. 10961014; the Graduate Innovation Special Foundation of the Education Department of Jiangxi Province, grant no. YC08A044, China. The research of the second author is partially supported by the Hungarian National Foundation for Scientific Research (OTKA), grant no. T48809.
Notes
Communicated by V. Gould.