Levi, Inessa Congruences on \(S(\alpha,\beta,\sigma,| X|)\). (English) Zbl 0810.20050 Simon Stevin 67, Suppl., 87-97 (1993). The paper gives a description of congruences on the \(G_ X\)-normal semigroup of transformations \(S = S(\alpha, \beta, \sigma, | X|)\), \(\beta\), \(\sigma\) infinite. It is shown that \(\text{Con }S\) is a chain and that congruences on \(S\) are invariant under conjugation by an element of \(G_ X\). Reviewer: J.Duda (Brno) MSC: 20M20 Semigroups of transformations, relations, partitions, etc. 08A30 Subalgebras, congruence relations 20M15 Mappings of semigroups 06B15 Representation theory of lattices Keywords:congruences; \(G_ X\)-normal semigroup of transformations PDFBibTeX XMLCite \textit{I. Levi}, Simon Stevin 67, 87--97 (1993; Zbl 0810.20050)