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Commutative coherent rings (1989) / Sarah Glaz
Titre : Commutative coherent rings Type de document : monographie Auteurs : Sarah Glaz, Auteur Editeur : Berlin : Springer-Verlag Année de publication : 1989 Collection : Lecture Note in Mathematics, ISSN 0075-8434 num. 1371 Importance : VI-347 p. ISBN/ISSN/EAN : 978-3-540-51115-1 Langues : Anglais (eng) Catégories : 13-02
13B99
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13D99
13E99
18G99
20M14Mots-clés : anneau commutatif Note de contenu : index, références Commutative coherent rings [monographie] / Sarah Glaz, Auteur . - Springer-Verlag, 1989 . - VI-347 p.. - (Lecture Note in Mathematics, ISSN 0075-8434; 1371) .
ISBN : 978-3-540-51115-1
Langues : Anglais (eng)
Catégories : 13-02
13B99
13C11
13C13
13C15
13D99
13E99
18G99
20M14Mots-clés : anneau commutatif Note de contenu : index, références Réservation
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Code-barres Cote Support Localisation Section Disponibilité 872 LN 1371 Livre Recherche Salle Disponible
Titre : Operads, algebras, modules and motives Type de document : texte imprimé Auteurs : I. KRIZ, Auteur ; J. Peter MAY, Auteur Editeur : Paris : Société Mathématique de France Année de publication : 1995 Collection : Astérisque, ISSN 0303-1179 num. 233 Importance : 145 p. Langues : Anglais (eng) Catégories : 14A20
18F25
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19D99
19E99
55U99Mots-clés : homotopie algèbre commutative algèbre de Lie Résumé : With motivation from algebraic topology, algebraic geometry, and string theory, we study various topics in differential homological algebra. The work is divided in five largely independent parts:
I- Definitions and examples of operads and their actions
II- Partial algebraic structures and conversion theorems
III- Derived categories from a topological point of view
IV - Rational derived categories and mixed Tate motives.
V - Derived categories of modules over E algebras.
In differential algebra, operads are systems of parameter chain complexes for multiplication on various types of differential graded algebras up to homotopy, for example commutative algebras, n-Lie algebras, n-braid algebras, etc. Our primary focus is the development of the concomitant theory of modules up to homotopy and the study of both classical derived categories of modules over DGA's and derived categories of modules up to homotopy over DGA's up to homotopy. Examples of such derived categories provide the appropriate setting for one approach to mixed Tate motives in algebraic geometry, both rational and integral.Note de contenu : index, bibliogr. En ligne : http://www.math.uchicago.edu/~may/PAPERS/kmbooklatex.pdf Operads, algebras, modules and motives [texte imprimé] / I. KRIZ, Auteur ; J. Peter MAY, Auteur . - Société Mathématique de France, 1995 . - 145 p.. - (Astérisque, ISSN 0303-1179; 233) .
Langues : Anglais (eng)
Catégories : 14A20
18F25
18G99
19D99
19E99
55U99Mots-clés : homotopie algèbre commutative algèbre de Lie Résumé : With motivation from algebraic topology, algebraic geometry, and string theory, we study various topics in differential homological algebra. The work is divided in five largely independent parts:
I- Definitions and examples of operads and their actions
II- Partial algebraic structures and conversion theorems
III- Derived categories from a topological point of view
IV - Rational derived categories and mixed Tate motives.
V - Derived categories of modules over E algebras.
In differential algebra, operads are systems of parameter chain complexes for multiplication on various types of differential graded algebras up to homotopy, for example commutative algebras, n-Lie algebras, n-braid algebras, etc. Our primary focus is the development of the concomitant theory of modules up to homotopy and the study of both classical derived categories of modules over DGA's and derived categories of modules up to homotopy over DGA's up to homotopy. Examples of such derived categories provide the appropriate setting for one approach to mixed Tate motives in algebraic geometry, both rational and integral.Note de contenu : index, bibliogr. En ligne : http://www.math.uchicago.edu/~may/PAPERS/kmbooklatex.pdf Réservation
Réserver ce document
Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 15993 AST 233 Livre Recherche Salle Disponible