Simple morphisms in algebraic geometry
著者
書誌事項
Simple morphisms in algebraic geometry
（Lecture notes in mathematics, 935）
Springer-Verlag, 1982
- : Berlin
- : New York
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注記
Bibliography: p. 145
Includes indexes
内容説明・目次
目次
- 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 etale 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 etale 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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