A characterization of the group congruences on a semigroup |
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Authors: | Gracinda M S Gomes |
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Institution: | (1) Departmenttode Matemátca, Faculdade de Ciêcias de Lisboa, 1700 Lisboa, Portugal |
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Abstract: | In this paper we describe the group congruences on a semigroupS in terms of their kernels. In particular, we show that the least group congruence σ on a dense and uniteryE-semigroupS is defined by, for alla, b ∈ S, (a, b) ∈ σ iff (εe, f εE(S)) ea=bf
Communicated by John M. Howie |
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