The Zariski topology, the Jacobian criterion and examples of simple algebras over a field k.- The Kahler 1-differentials.- Every k-algebra a which is essentially of finite type over k and simple is a regular local ring.- Brief discussion of unramified and ¿le homomorphisms.- Some corollaries to Theorem 3.5.- Fitting ideals.- Proof of the Jacobian criterion and some characterizations of simple k-algebras and A-algebras.- Characterizations of simple A-algebras in terms of ¿le homomorphisms; invariance of the property of being a simple algebra under composition and change of base.- Descent of simple homomorphisms and removal of all noetherian assumptions in Chapter 7 and Chapter 8.- Simple morphisms of preschemes and translation of previous theorems into the language of preschemes.
| Autorius: | R. Sot |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1982 |
| Knygos puslapių skaičius: | 156 |
| ISBN-10: | 3540115641 |
| ISBN-13: | 9783540115649 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Algebraic geometry |
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