Difference Algebra
Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields in much the same way as the classical algebraic geometry arose from the study of polynomial equations with numerical coefficients. The first stage of the development of the theory is a...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Algebra and Applications
8 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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L'impression du document génère 527 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Difference algebra, Alexander Levin, [Dordrecht], Springer, 2008, 1 vol. (XI-519 p.), Algebra and applications, 978-1-402-06946-8 |
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| 082 | |a 512 | ||
| 084 | |a 12H10. 2010 | ||
| 100 | 1 | |a Levin, Alexander B. | |
| 245 | 1 | 0 | |a Difference Algebra |c Alexander Levin. |
| 260 | |a Dordrecht : |b Springer Netherlands. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Algebra and Applications |v 8 | |
| 500 | |a L'impression du document génère 527 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preliminaries Basic Concepts of Difference Algebra Difference Modules Difference Field Extensions Compatibility, Replicability, and Monadicity Difference Kernels over Partial Difference Fields. Difference Valuation Rings Systems of Algebraic Difference Equations Elements of the Difference Galois Theory | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields in much the same way as the classical algebraic geometry arose from the study of polynomial equations with numerical coefficients. The first stage of the development of the theory is associated with its founder J. F. Ritt (1893 - 1951) and R. Cohn whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrew the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings. This book reflects the contemporary level of difference algebra; it contains a systematic study of partial difference algebraic structures and their applications, as well as the coverage of the classical theory of ordinary difference rings and field extensions. The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. It will be also of interest to researchers in computer algebra, theory of difference equations and equations of mathematical physics. The book is self-contained; it requires no prerequisites other than knowledge of basic algebraic concepts and mathematical maturity of an advanced undergraduate | ||
| 650 | |a Algèbre différentielle | ||
| 650 | |a Équations aux différences | ||
| 776 | 0 | |0 127250417 |t Difference algebra |f Alexander Levin |c [Dordrecht] |n Springer |d 2008 |p 1 vol. (XI-519 p.) |s Algebra and applications |z 978-1-402-06946-8 | |
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