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Simple Morphisms in Algebraic Geometry

Häftad, Engelska, 1982

Del 935 i serien Lecture Notes in Mathematics

275 kr

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351 kr

Produktinformation

Utgivningsdatum:1982-07-01
Mått:155 x 235 x 9 mm
Vikt:248 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:152
Upplaga:1982
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540115649

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Innehållsförteckning

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 étale 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 étale 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.

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