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ABSTRACT
The aim of this paper is to study idempotent-connected abundant semigroups which are disjoint unions of quasi-ideal adequate transversals. After obtaining some characterizations of such semigroups, we establish the structure of this class of semigroups. In addition, we also consider several special cases.
ACKNOWLEDGMENT
The authors would like to thank Professor Peter M. Higgins and the referee heartily for their valuable suggestions which lead to an improvement f this paper and make this paper read easily.
This work is jointly supported by the NSF of China (grant: 10071068); the NSF of Yunnan Province (grant: 99A0001R); the ECF of Yunnan Province (grant: 0011089) and the Foundation of Yunnan University (grant: 30).
