Orthodox Congruences on An Eventually Regular Semigroup |
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Authors: | Yanfeng Luo Xiaoling Li |
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Affiliation: | (1) Department of Mathematics, Lanzhou University, Lanzhou, Gansu, 730000, P.R. China |
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Abstract: | It is shown that each regular congruence on an eventually regular semigroup is uniquely determined by its kernel and hyper-trace. Furthermore, the orthodox congruences (resp., the regular congruences ) on an eventually regular (resp., orthodox) semigroup S are described by means of certain congruence pair (ξ, K), where ξ is a certain normal congruence on the subsemigroup 〈E(S)〉 generated by E(S) and K is a certain normal subsemigroup of S. |
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