| 具有逆断面的正则半群的同余的表示 |
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| 引用本文： | 汪立民,唐西林.具有逆断面的正则半群的同余的表示[J].数学学报,1998,41(6):0-1164. |
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| 作者姓名： | 汪立民 唐西林 |
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| 作者单位： | 华南师范大学数学系!广州，510631，Email：wanglm＠scnu．edu．cn，广州师范学院数学系!广州，510400，Email：xltang＠guangztc.edu.Cn |
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| 摘 要： | 具有道断面S°的正则半群可表示为有Saito's结构的半群W（I，S°，Λ，*，α，β）.我们利用由I，S°和Λ上的同余构成的所谓同余聚抽象地表示这类半群上的同余，进而给出了这类半群的同态象的构造法．
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| 关 键 词： | 逆断面 同余 同余聚 |
Representation of Congruences on Regular Semigroups with Inverse Transversals |
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| Wang Limin.Representation of Congruences on Regular Semigroups with Inverse Transversals[J].Acta Mathematica Sinica,1998,41(6):0-1164. |
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| Authors: | Wang Limin |
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| Institution: | Wang Limin (Department of Mathematics, South China Normal University, Guangzhou 510631, China) (Email. wanglm @ scnu. edu. cn) Tang Xilin (Department of Mathematics, Guangzhou Teacher's College, Guangzhou 510400, China) (Email: xltang @ guangztc. edu. cn) |
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| Abstract: | For a regular semigroup with an inverse transversal S0, we have Saito's structure W(I, S°, A, *, α, β). We represented congruences on this kind of semigroups by the so called congruence assemblage abstractly which consist of congruences on the structure component parts I, S°and A. The structure of images of this type of semigroups is also presented. |
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| Keywords: | Inverse transversal Congruence Congruence assemblge |
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