UID:
edocfu_9959185743602883
Format:
1 online resource (IV, 152 p.)
Edition:
1st ed. 1982.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-39265-3
Series Statement:
Lecture Notes in Mathematics, 935
Note:
Bibliographic Level Mode of Issuance: Monograph
,
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.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-11564-1
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0095799
