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 Livre de Algèbre 3 éme année

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مُساهمةموضوع: Livre de Algèbre 3 éme année   الجمعة أبريل 09, 2010 3:16 am



Livre de Algèbre 3 éme année




Lionel Schwartz "Algèbre 3e année "
Djvu | 297 pages | Dunod | ISBN: 2100070576 | 5.1 Mo | French




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Jean-Pierre Serre, Pierre Gabriel “Algèbre Locale, Multiplicités: Cours au Collège de France, 1957 - 1958"
Springer | 2002-03-15 | ISBN: 3540070281 | 160 pages | PDF | 5,6 MB




This edition reproduces the 2nd corrected printing of the 3rd edition of the now classic notes by Professor Serre, long established as one of the standard introductory texts on local algebra. Referring for background notions to Bourbaki's "Commutative Algebra" (English edition Springer-Verlag 1988), the book focusses on the various dimension theories and theorems on mulitplicities of intersections with the Cartan-Eilenberg functor Tor as the central concept. The main results are the decomposition theorems, theorems of Cohen-Seidenberg, the normalisation of rings of polynomials, dimension (in the sense of Krull) and characteristic polynomials (in the sense of Hilbert-Samuel




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Claude Chevalley, P. Cartier, A. Grothendieck, M. Lazard
“Classification des Groupes Algébriques Semi-simples: The Classification of Semi-simple Algebraic Groups"
Springer | 2005-02-24 | ISBN: 3540230319 | 276 pages | PDF | 2,84 MB


The third volume of the Collected Works of Claude Chevalley assembles his work on semi-simple algebraic groups contained, for the most part, in the notes of the famous "Séminaire Chevalley" held at the Ecole Normale Supérieure in Paris between 1956 and 1958 and written up by participants of the seminar namely, P. Cartier, A. Grothendieck, R. Lazard and J. L. Verdier.
These texts have been entirely reset in TeX for this edition, and edited and annotated by Pierre Cartier. Almost 50 years after the original writing, these texts still constitute a choice reference from which to enter and learn this part of the theory of algebraic groups



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