Prime divisors and noncommutative valuation theory
Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves. But the noncommutative equivalent is mainly applied to finite dimensional skewfields. Recently however, new types of algebras have become popul...
Đã lưu trong:
| Những tác giả chính: | , , |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Phiên bản: | 1st ed. 2012. |
| Loạt: | Lecture notes in Mathermatics
2059 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
L'impression du document génère 224 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Prime divisors and noncommutative valuation theory, Hidethoshi Marubayashi, Freddy van Oystaeyen, Berlin, Springer, 2012, 1 vol. (IX-218 p.), Lecture notes in mathematics, 978-3-642-31151-2 • Prime divisors and noncommutative valuation theory, Hidethoshi Marubayashi, Freddy van Oystaeyen, Berlin, Springer, 2012, 1 vol. (IX-218 p.), Lecture notes in mathematics, 978-3-642-31151-2 • Prime Divisors and Noncommutative Valuation Theory, Texte imprimé, 9783642311536 |
| LEADER | 04109nam a22005057a 4500 | ||
|---|---|---|---|
| 001 | 974373 | ||
| 008 | 121112q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN16532936X | ||
| 020 | |a 9783642311529 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512 | ||
| 084 | |a 16W40. 2010 | ||
| 084 | |a 16W70. 2010 | ||
| 084 | |a 16S38. 2010 | ||
| 084 | |a 16H10. 2010 | ||
| 084 | |a 13J20. 2010 | ||
| 084 | |a 16T05. 2010 | ||
| 100 | 1 | |a Marubayashi, Hidetoshi, |d 1941- | |
| 245 | 1 | 0 | |a Prime divisors and noncommutative valuation theory |c Hidethoshi Marubayashi, Freddy van Oystaeyen. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture notes in Mathermatics |v 2059 |x 1617-9692 | |
| 500 | |a L'impression du document génère 224 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 1. General Theory of Primes 2. Maximal Orders and Primes 3. Extensions of Valuations to some Quantized Algebras | |
| 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 Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves. But the noncommutative equivalent is mainly applied to finite dimensional skewfields. Recently however, new types of algebras have become popular in modern algebra; Weyl algebras, deformed and quantized algebras, quantum groups and Hopf algebras, etc. The advantage of valuation theory in the commutative case is that it allows effective calculations, bringing the arithmetical properties of the ground field into the picture. This arithmetical nature is also present in the theory of maximal orders in central simple algebras. Firstly, we aim at uniting maximal orders, valuation rings, Dubrovin valuations, etc. in a common theory, the theory of primes of algebras. Secondly, we establish possible applications of the noncommutative arithmetics to interesting classes of algebras, including the extension of central valuations to nice classes of quantized algebras, the development of a theory of Hopf valuations on Hopf algebras and quantum groups, noncommutative valuations on the Weyl field and interesting rings of invariants and valuations of Gauss extensions | ||
| 650 | |a Théorie des valuations | ||
| 650 | |a Anneaux non commutatifs | ||
| 650 | |a Géométrie algébrique | ||
| 700 | 1 | |a Van Oystaeyen, Freddy M. J., |d 1947- |4 aut | |
| 700 | 1 | |a Van Oystaeyen, Fred. |4 aut | |
| 776 | 0 | |0 164459677 |t Prime divisors and noncommutative valuation theory |f Hidethoshi Marubayashi, Freddy van Oystaeyen |c Berlin |n Springer |d 2012 |p 1 vol. (IX-218 p.) |s Lecture notes in mathematics |z 978-3-642-31151-2 | |
| 776 | 0 | |0 164459677 |t Prime divisors and noncommutative valuation theory |f Hidethoshi Marubayashi, Freddy van Oystaeyen |c Berlin |n Springer |d 2012 |p 1 vol. (IX-218 p.) |s Lecture notes in mathematics |z 978-3-642-31151-2 | |
| 776 | 0 | |t Prime Divisors and Noncommutative Valuation Theory |b Texte imprimé |z 9783642311536 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-31152-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-PDNT02CH-S |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750581069 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-31152-9 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753944049 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-31152-9 |z Accès INSA CVL | |
| 997 | |0 974373 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||