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Another Structure on Left C-semigroups

Guo Yuqi(Dept. of Math., Lanzhou University,Lanzhou, Gansu,730000)Ren Xueming(Dept. of Basic Courses, Xi'an Institute of Metallury and Construction Engineering, Xi'an, Shanxi, 710055) Shum Kar-ping(Dept. of Math., Chinese University of Hong Kong,Hong Kong  
The ξ-product structure of the left C-semigroups as a generalization of Clifford semigroups have already been established. In this paper, another struc-ture of the left C-semigroups is given by means of the so called Δ-product structure,a special case of this structure is just the strong semilattice of left groups.The new structure is a basis that the study on Clifford hierarchy of semigroups can be ex-tended to the area of quasi-regular semigroups.
【Fund】: 国家自然科学基金,国家教委博士点基金
【CateGory Index】: O152.7
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