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The Congruences on a Transformation Semigroup Determined by a Regular Cardinal
Author(s) -
Sullivan R. P.
Publication year - 1994
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/26.4.345
Subject(s) - congruence relation , mathematics , semigroup , congruence (geometry) , transformation (genetics) , pure mathematics , set (abstract data type) , algebra over a field , computer science , geometry , programming language , biochemistry , chemistry , gene
In a recent paper, the author generalised most of the results published during the last three decades concerning congruences on certain transformation semigroups and their use in constructing congruence free semigroups. One result by Howie in 1981 involves a transformation semigroup defined on an infinite set whose cardinal is regular, and as such it could not be included in the generalisation. In this paper, we detrmine all the congruences on that transformation semigroup.