On the homology of filtered and graded rings

DOI10.1016/0022-4049(79)90010-0zbMath0394.20040OpenAlexW1994460200MaRDI QIDQ1252295

Luzius Grunenfelder

Publication date: 1979

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(79)90010-0

zbMATH Keywords

Artin-Rees PropertyAugmentation IdealConvergent Spectral SequenceFiltered and Graded RingsFinitely Generated Nilpotent GroupHomology of The (Graded) Lie RingKoszul ComplexLower Central Series of a Group

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings (16S34) Universal enveloping (super)algebras (17B35) Spectral sequences, hypercohomology (18G40) Nilpotent groups (20F18) Homological methods in group theory (20J05) Chains and lattices of subgroups, subnormal subgroups (20E15) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Graded rings and modules (associative rings and algebras) (16W50) Associated Lie structures for groups (20F40) Homological methods in associative algebras (16Exx)

Related Items (10)

On the Iwasawa theory of the Lubin–Tate moduli space ⋮ Cohomology of nilpotent groups of class 2 ⋮ On the cohomology of integral p-adic unipotent radicals ⋮ Homology of Integral Upper-Triangular Matrices ⋮ λ-dlmension of filtered rings ⋮ Smooth duality in natural characteristic ⋮ Stability in the homology of unipotent groups ⋮ A vanishing result for higher smooth duals ⋮ Modules ⋮ Cohomology of infinitesimal and discrete groups

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• On the lower central series of a free product of groups
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• Algebraic \(K\)-theory

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