The Ideal Extension and Congruence Extension Properties for Compact Semigroups |
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Authors: | Xiaojiang Guo |
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Affiliation: | (1) Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330027, China |
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Abstract: | The aim of this paper is to study the congruenceextension property and the ideal extension property for compact semigroups. We present a characterization of compactsemigroups with the ideal extension property and prove that each compact semigroupwith the congruence extension property also has the ideal extension property. |
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