Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings
The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different...
সংরক্ষণ করুন:
| প্রধান লেখক: | , |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| মালা: | Lecture notes in mathematics
1712 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Semi-algebraic function rings and reflectors of partially ordered rings, Niels Schwartz, James J. Madden, 1999, Berlin, Springer, 1 vol. (X-279 p.), Lecture notes in mathematics, 3-540-66460-2 • Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings, Texte imprimé, 9783662192412 |
| LEADER | 03874nam a22004097a 4500 | ||
|---|---|---|---|
| 001 | 969573 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155175742 | ||
| 020 | |a 9783540482840 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Schwartz, Niels, |d 1950- | |
| 245 | 1 | 0 | |a Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings |c Niels Schwartz, James J. Madden. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1712 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preordered and partially ordered rings -- Reflective subcategories -- Totally ordered and real closed fields -- Real spectra of preordered rings -- Epimorphisms of reduced porings -- Functions and representable porings -- Semi-algebraic functions -- Comparing reflectors -- Constructing reflectors -- H-closed epireflectors -- Quotient-closed reflectors -- The real closure reflector -- Arities of reflectors and approximations by H-closed reflectors -- Epimorphic extensions of reduced porings -- Essential monoreflectors -- Reflections of totally ordered fields -- von Neumann regular f-rings -- Totally ordered domains -- Reduced f-rings -- Rings of continuous piecewise polynomial functions -- Rings of continuous piecewise rational functions -- Discontinuous semi-algebraic functions -- The lattice of H-closed monoreflectors. | |
| 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 The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions. | ||
| 650 | |a Ensembles semi-algébriques | ||
| 650 | |a Anneaux (algèbre) | ||
| 650 | |a Structures algébriques ordonnées | ||
| 650 | |a Mathématiques | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Anneaux non associatifs | ||
| 700 | 1 | |a Madden, James J., |d 1951- |4 aut | |
| 776 | 0 | |0 061082473 |t Semi-algebraic function rings and reflectors of partially ordered rings |f Niels Schwartz, James J. Madden |d 1999 |c Berlin |n Springer |p 1 vol. (X-279 p.) |s Lecture notes in mathematics |z 3-540-66460-2 | |
| 776 | 0 | |t Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings |b Texte imprimé |z 9783662192412 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0093968 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-4GQPH9V4-W |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750672609 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093968 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754021297 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0093968 |z Accès INSA CVL | |
| 997 | |0 969573 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||