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
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Communicated by John M. Howie
Research supported by Plano de Reforço da Capacidade Científica do Departamento de Matemática concedido dela Fundação Calouste Gulbenkian.
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Gomes, G.M.S. A characterization of the group congruences on a semigroup. Semigroup Forum 46, 48–53 (1993). https://doi.org/10.1007/BF02573543
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DOI: https://doi.org/10.1007/BF02573543