Homology in varieties of groups. IV. (English) Zbl 0279.18012


08A99 Algebraic structures
20E10 Quasivarieties and varieties of groups
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18G10 Resolutions; derived functors (category-theoretic aspects)
18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects)
18G20 Homological dimension (category-theoretic aspects)
18G40 Spectral sequences, hypercohomology
20J06 Cohomology of groups
16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.)
20J05 Homological methods in group theory
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