scientific article

zbMath0438.18008MaRDI QIDQ3879423

Stanislaw Balcerzyk

Publication date: 1972

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Galois groupspectral sequenceslocal ringsKrull dimensionalgebraic geometryBrauer groupextension functorstorsion producthomology and cohomology groupsderived functors on the category of modulesdimensions of modules and ringsHilbert Syzygy theoremsingular homology and cohomology theory

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Spectral sequences, hypercohomology (18G40) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Homological dimension in associative algebras (16E10) Homological and categorical methods for abelian groups (20K40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to category theory (18-01) Homological algebra in category theory, derived categories and functors (18Gxx) Homological methods in associative algebras (16Exx)

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Blown-up Čech cohomology and Cartan’s Theorem B on real algebraic varieties

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