Homological dimensions and Van den Bergh isomorphisms for nuclear Fréchet algebras

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Homological dimensions and Van den Bergh isomorphisms for nuclear Fréchet algebras

Auteurs : Alexei Yu Pirkovskii

Source :

• Izvestiya: Mathematics [ 1064-5632 ] ; 2012-08-31.

RBID : ISTEX:FEC56B6C17F787B56630424C1B8F3CF7D7814E2F

English descriptors

• KwdEn :
  • Abelian, Admissible epimorphism, Admissible subcategory, Algebra, Algebraic, Algebraic case, Algebraic sense, Amer, Anal, Appl, Automorphism, Banach, Banach algebra, Banach algebras, Banach disc, Banach space, Banach spaces, Bergh, Bergh condition, Bergh isomorphisms, Bidimension, Bimodule, Bimodules, Binuclear, Binuclear morphism, Bornological, Canonical, Canonical homomorphism, Classical homological algebra, Cohomology, Commutative, Commutative diagram, Continuous seminorms, Convergence, Convex, Convex space, Convex spaces, Convex topology, Countable, Countable dimension, Diagram commutative, Dual pair, Dual pairs, Duality, Dualizing, Dualizing bimodule, Embedding, English transl, Epimorphism, Epimorphisms, Equicontinuous, Extn, Full subcategory, Functional analysis, Functor, Functors, General case, Global dimension, Grothendieck, Halg, Hausdor, Hochschild, Hochschild homology, Holomorphic, Holomorphic functions, Homological, Homological dimension, Homological dimensions, Homological epimorphism, Homological epimorphisms, Homology, Homomorphism, Injective, Inverse limit, Inverse sequence, Invertible, Isometric, Isometric isomorphism, Isomorphic, Isomorphism, Koszul, Lemma, Lemma yields, Lim1, Linear operator, Math, Matrix, Module, Morphism, Morphisms, Multiplicatively, Neighbourhood, Nite, Nite type, Nitely, Noncommutative, Normed, Nuclear algebra, Nuclear morphism, Nuclear morphisms, Nuclear spaces, Other hand, Pirkovskii, Projective, Projective bimodule resolution, Projective resolution, Projective tensor product, Quantum space, Quantum tori, Quantum torus, Quotient, Regular functions, Resp, Russian transl, Seminorm, Seminormed, Seminorms, Smooth functions, Space tora, Subcategory, Submultiplicative, Subset, Tensor, Topological, Topological algebra, Topological algebras, Topological isomorphism, Topological modules, Topological vector spaces, Topology, Tora, Torus, Transl, Uniform convergence, Vdbalg, Vdbtop, Vect, Vector space, Vector spaces, Weak bidimension.
• Teeft :
  • Abelian, Admissible epimorphism, Admissible subcategory, Algebra, Algebraic, Algebraic case, Algebraic sense, Amer, Anal, Appl, Automorphism, Banach, Banach algebra, Banach algebras, Banach disc, Banach space, Banach spaces, Bergh, Bergh condition, Bergh isomorphisms, Bidimension, Bimodule, Bimodules, Binuclear, Binuclear morphism, Bornological, Canonical, Canonical homomorphism, Classical homological algebra, Cohomology, Commutative, Commutative diagram, Continuous seminorms, Convergence, Convex, Convex space, Convex spaces, Convex topology, Countable, Countable dimension, Diagram commutative, Dual pair, Dual pairs, Duality, Dualizing, Dualizing bimodule, Embedding, English transl, Epimorphism, Epimorphisms, Equicontinuous, Extn, Full subcategory, Functional analysis, Functor, Functors, General case, Global dimension, Grothendieck, Halg, Hausdor, Hochschild, Hochschild homology, Holomorphic, Holomorphic functions, Homological, Homological dimension, Homological dimensions, Homological epimorphism, Homological epimorphisms, Homology, Homomorphism, Injective, Inverse limit, Inverse sequence, Invertible, Isometric, Isometric isomorphism, Isomorphic, Isomorphism, Koszul, Lemma, Lemma yields, Lim1, Linear operator, Math, Matrix, Module, Morphism, Morphisms, Multiplicatively, Neighbourhood, Nite, Nite type, Nitely, Noncommutative, Normed, Nuclear algebra, Nuclear morphism, Nuclear morphisms, Nuclear spaces, Other hand, Pirkovskii, Projective, Projective bimodule resolution, Projective resolution, Projective tensor product, Quantum space, Quantum tori, Quantum torus, Quotient, Regular functions, Resp, Russian transl, Seminorm, Seminormed, Seminorms, Smooth functions, Space tora, Subcategory, Submultiplicative, Subset, Tensor, Topological, Topological algebra, Topological algebras, Topological isomorphism, Topological modules, Topological vector spaces, Topology, Tora, Torus, Transl, Uniform convergence, Vdbalg, Vdbtop, Vect, Vector space, Vector spaces, Weak bidimension.

Url:

• https://api.istex.fr/document/FEC56B6C17F787B56630424C1B8F3CF7D7814E2F/fulltext/pdf

DOI: 10.1070/IM2012v076n04ABEH002603

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   |texte=   Homological dimensions and Van den Bergh isomorphisms for nuclear Fréchet algebras
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