Long exact sequences in the first variable for algebraic cohomology theories

DOI10.1016/0022-4049(82)90102-5zbMath0495.18014OpenAlexW2164433563MaRDI QIDQ5905234

Don H. Van Osdol

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90102-5

zbMATH Keywords

cohomology of groupsmonadic functorlong exact sequencesalgebraic cohomology theoriesco-triple cohomologycohomology of commutative algebrasinterpretation of Hnprincipal homogeneous objectssplitting epimorphismtriple cohomology group

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Homological methods in group theory (20J05) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Chain complexes (category-theoretic aspects), dg categories (18G35)

Cites Work

• Cohomologie et groupe de Steinberg rélatifs
• Cohomology theory in abstract groups. II
• Cohomology theory in abstract groups. III. Operator homomorphisms of kernels
• Simplicial methods and the interpretation of “triple” cohomology
• Cohomology of Group Extensions
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