Categories of Commutative Algebras
Seiten
1992
Clarendon Press (Verlag)
978-0-19-853586-7 (ISBN)
Clarendon Press (Verlag)
978-0-19-853586-7 (ISBN)
Studies the universal constructions and properties in categories of commutative algebras, showing that the concepts arising in commutative algebra and algebraic geometry are not bound to the universe of rings but possess a universality that can be interpreted in various domains of discourse.
This book studies the universal constructions and properties in categories of commutative algebras, bringing out the specific properties that make commutative algebra and algebraic geometry work. Two new universal constructions are presented and used here for the first time. The author shows that the concepts and constructions arising in commutative algebra and algebraic geometry are not bound so tightly to the absolute universe of rings, but possess a universality that is independent of them and can be interpreted in various categories of discourse. This brings new flexibility to classical commutative algebra and affords the possibility of extending the domain of validity and the application of the vast number of results obtained in classical commutative algebra.
This book studies the universal constructions and properties in categories of commutative algebras, bringing out the specific properties that make commutative algebra and algebraic geometry work. Two new universal constructions are presented and used here for the first time. The author shows that the concepts and constructions arising in commutative algebra and algebraic geometry are not bound so tightly to the absolute universe of rings, but possess a universality that is independent of them and can be interpreted in various categories of discourse. This brings new flexibility to classical commutative algebra and affords the possibility of extending the domain of validity and the application of the vast number of results obtained in classical commutative algebra.
Introduction; Zariski categories; Classical objects; Spectra; Schemes; Jacobson ultraschemes; Algebraic varieties; Zariski toposes; Neat objects and morphisms; Flatness properties; Etale objects and morphisms; Terminators; Some constructions of Zariski categories.
| Erscheint lt. Verlag | 4.6.1992 |
|---|---|
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 161 x 241 mm |
| Gewicht | 619 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Algebra | |
| ISBN-10 | 0-19-853586-4 / 0198535864 |
| ISBN-13 | 978-0-19-853586-7 / 9780198535867 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
ein Übungsbuch für Fachhochschulen
Buch | Hardcover (2023)
Carl Hanser (Verlag)
CHF 23,75
