Representation of congruences on regular semigroups with inverse transversals |
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| Authors: | Limin Wang Xilin Tang |
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| Institution: | (1) Department of Mathematics, South China Normal University, 510631 Guangzhou, P. R. China;(2) Department of Mathematics, Guangzhou Teacher’s College, 510400 Guangzhou, P.R. China |
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| Abstract: | For a regular semigroup with an inverse transversal, we have Saito’s structureW(I,S
o, Λ, *, {α, β}). We represent congruences on this kind of semigroups by the so-called congruence assemblage which consist
of congruences on the structure component partsI,S
o and Λ. The structure of images of this type of semigroups is also presented.
This work is supported by Natural Science Foundation of Guangdong Province |
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| Keywords: | Inverse transversal Congruence Congruence assemblage |
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