UID:
almahu_9947921459902882
Format:
IV, 152 p.
,
online resource.
ISBN:
9783540392651
Series Statement:
Lecture Notes in Mathematics, 935
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540115649
Language:
English
Subjects:
Mathematics
URL:
http://dx.doi.org/10.1007/BFb0095799
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(Deutschlandweit zugänglich)