The q-theory of finite semigroups
Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra. This comprehensive, encyclopedic text will provide the reader from the graduate...
Enregistré dans:
| Auteurs principaux: | , |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
New York, NY :
Springer US
2009.
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| Édition: | 1st ed. 2009. |
| Collection: | Springer Monographs in Mathematics
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| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 666 p. Description d'après consultation du 05 juillet 2011 Titre provenant de l'écran-titre Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2009 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The q-theory of finite semigroups, John Rhodes, Benjamin Steinberg, 2009, [New York], Springer, 1 vol. (XVIII-666 p.), Springer monographs in mathematics, 978-0-387-09780-0 |
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| 100 | 1 | |a Steinberg, Benjamin. | |
| 245 | 1 | 0 | |a The q-theory of finite semigroups |c by Benjamin Steinberg, John Rhodes. |
| 250 | |a 1st ed. 2009. | ||
| 256 | |a Données textuelles | ||
| 260 | |a New York, NY : |b Springer US, |c 2009. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a L'impression du document génère 666 p. | ||
| 500 | |a Description d'après consultation du 05 juillet 2011 | ||
| 500 | |a Titre provenant de l'écran-titre | ||
| 500 | |a Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2009 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a I The q operator and Pseudovarieties of Relational Morphisms Foundations for Finite Semigroup Theory The q-operator The Equational Theory II Complexity in Finite Semigroup Theory The Complexity of Finite Semigroups Two-Sided Complexity and the Complexity of Operators III The Algebraic Lattice of Semigroup Pseudovarieties Algebraic Lattices, Continuous Lattices and Closure Operators The Abstract Spectral Theory of PV IV Quantales Idempotent Semirings Matrix Algebras and the Triangular Product Quantales The Triangular Product and Decomposition Results for Semirings | |
| 520 | |a Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra. This comprehensive, encyclopedic text will provide the reader from the graduate student to the researcher/practitioner with a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. Key features: * Develops q-theory, a new theory that provides a unifying approach to finite semigroup theory via quantization; * Contains the only contemporary exposition of the complete theory of the complexity of finite semigroups; * Introduces spectral theory into finite semigroup theory; * Develops the theory of profinite semigroups from first principles, making connections with spectra of Boolean algebras of regular languages; * Presents over 70 research problems, most new, and hundreds of exercises. Additional features: * For newcomers, an appendix on elementary finite semigroup theory; * Extensive bibliography and index. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, and thereby updates and modernizes the literature of semigroup theory | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
| 650 | |a Semigroupes | ||
| 650 | |a Algèbres de semigroupes | ||
| 700 | 1 | |a Rhodes, John Lewis, |d 1937- |4 aut | |
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