Pub. Date:
American Mathematical Society
The Algebraic Theory of Semigroups, Volume II

The Algebraic Theory of Semigroups, Volume II

by A. H. Clifford, G. B. Preston


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This book, along with Volume I, 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 Sain's theory of the representations of an arbitrary semigroup by partial one-to-one transformations of a set, Redei's theory of finitely generated commutative semigroups, Howie's theory of amalgamated free products of semigroups, and 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.

Product Details

ISBN-13: 9780821802724
Publisher: American Mathematical Society
Publication date: 12/31/1967
Series: Mathematical Surveys Series , #7
Pages: 352
Product dimensions: 6.00(w) x 1.25(h) x 9.00(d)

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