The Isomorphism Theorem of $*$-Bisimple Type $A~\omega ^{2}$-Semigroups
Received:October 18, 2011  Revised:March 27, 2012
Key Words: Type $A$ semigroup   $*$-bisimple $\omega ^{2}$-semigroup   generalized Bruck-Reilly $*$-extension   isomorphism.
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10901134) and the Science Foundation of the Department of Education of Yunnan Province (Grant No.2011Y478).
 Author Name Affiliation Yu SHANG Department of Mathematics, Simao Teacher's College, Yunnan 665000, P. R. China Limin WANG School of Mathematics, South China Normal University, Guangdong 510631, P. R. China
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In this paper we study the isomorphisms of two $*$-bisimple type $A~ \omega^{2}$-semigroups such that $\mathcal{D^{*}}=\widetilde{D}$ and obtain a criterion for isomorphisms of two such semigroups.