The Algebraic Theory of Semigroups, Volume II
A. H. Clifford, "The Algebraic Theory of Semigroups, Volume II"
English | 1988 | ISBN: 0821802720 | DJVU | pages: 368 | 9 mb
English | 1988 | ISBN: 0821802720 | DJVU | pages: 368 | 9 mb
This book, along with Volume I, which appeared previously, presents a survey of the structure and representation theory of semigroups. Volume II goes more deeply than was possible in Volume I into the theories of minimal ideals in a semigroup, inverse semigroups, simple semigroups, congruences on a semigroup, and the embedding of a semigroup in a group. Among the more important recent developments of which an extended treatment is presented are B. M. Sain's theory of the representations of an arbitrary semigroup by partial one-to-one transformations of a set, L. Redei's theory of finitely generated commutative semigroups, J. M. Howie's theory of amalgamated free products of semigroups, and E. J. Tully's theory of representations of a semigroup by transformations of a set. Also a full account is given of Malcev's theory of the congruences on a full transformation semigroup.
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