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Book DetailsMathematical Surveys and MonographsVolume: 7; 1967; 352 ppMSC: Primary 20
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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Table of Contents
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Chapters
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6. Minimal ideals and minimal conditions
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7. Inverse semigroups
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8. Simple semigroups
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9. Finite presentations of semigroups and free products with amalgamations
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10. Congruences
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11. Representation by transformations of a set
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12. Embedding a semigroup in a group
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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.
-
Chapters
-
6. Minimal ideals and minimal conditions
-
7. Inverse semigroups
-
8. Simple semigroups
-
9. Finite presentations of semigroups and free products with amalgamations
-
10. Congruences
-
11. Representation by transformations of a set
-
12. Embedding a semigroup in a group
