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Congruences on \(S(\alpha,\beta,\sigma,| X|)\). (English) Zbl 0810.20050

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
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