WorldCat Identities

André, M. (Michel)

Overview
Works: 9 works in 52 publications in 5 languages and 906 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Creator
Classifications: QA3, 512.55
Publication Timeline
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Most widely held works by M André
Homologie des algèbres commutatives by M André( Book )

19 editions published in 1974 in 5 languages and held by 377 WorldCat member libraries worldwide

(Egalite 3. 4). Ce complexe T*(A,B) per met de definir les modules d'homo logie de l'algebre (definition 3. 11) Hn(A,B, W) = Yt,,[T*(A,B)@B W] et les modules de cohomologie de l'algebre (definition 3. 12) Hn(A,B, W) = Yfn[HomB(T*(A,B), W)]. En particulier l'homologie et la cohomologie d'une algebre libre sont triviales (corollaire 3. 36). Quant au module Ho(A,B,B) il est toujours isomorphe au module des differentielles de Kaehler QBIA (proposition 6. 3). Lorsque l'anneau Best un quotient de l'anneau A, la situation est simple en degre 1 (proposition 6. 1) H (A, B, W) ~ Tor}(B, W) I et en degre 2 (theoreme 15. 8, propositions 15. 9 et 15. 12) H (A,B, W) ~ Tor1(B, W)jTor}(B,B). Tor}(B, W). 2 En ajoutant des variables independantes a l'anneau A, il est d'ailleurs possible de se ramener a ce cas particulier (corollaire 5. 2). Dans cette theorie, les modules d'homologie relative sont en fait des modules d'homologie absolue. De maniere precise: a une A-algebre B et a une B-algebre C correspond une suite exacte, dite de Jacobi Zariski (theoreme 5. 1) . . . --+ Hn(A,B, W) --+ Hn(A, C, W) --+ Hn(B, C, W) -+ H _ I (A, B, W) --+ -- n De cette suite decoulent des relations entre differentielles de Kaehler (n = 0), algebres lisses (n = 1), anneaux reguliers (n = 2) et intersections completes (n = 3). Une autre propriete fondamentale est la suivante (proposition 4
Reports of the Midwest Category Seminar II by Midwest Category Seminar( Book )

18 editions published in 1968 in English and Undetermined and held by 329 WorldCat member libraries worldwide

Méthode Simpliciale en Algèbre Homologique et Algèbre Commutative by M André( )

in French and held by 22 WorldCat member libraries worldwide

Méthode simpliciale en algèbre homologique et algèbre commutative by M André( Book )

2 editions published in 1967 in French and held by 10 WorldCat member libraries worldwide

Reports of the Midwest Category Seminar by Midwest Category Seminar( Book )

2 editions published in 1971 in English and held by 9 WorldCat member libraries worldwide

Lectures on homology by M André( Book )

6 editions published between 1970 and 1977 in English and Undetermined and held by 7 WorldCat member libraries worldwide

First Annual International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, 31 May-2 June 1995, Monterey, California by International Conference on Solid State Lasers for Application to Inertial Confinement Fusion( Book )

2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide

Cohomologie des algèbres différentielles ou opère une algèbre de Lie by M André( Book )

in French and held by 2 WorldCat member libraries worldwide

 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.70 (from 0.66 for Reports of ... to 0.95 for Cohomologi ...)

Méthode simpliciale en algèbre homologique et algèbre commutative
Alternative Names
André, M.

Languages
Covers
Méthode simpliciale en algèbre homologique et algèbre commutativeReports of the Midwest Category Seminar