An exact sequence for rings of polynomials in partly commuting indeterminates

DOI10.1016/0022-4049(81)90099-2zbMath0471.16001OpenAlexW2028821189MaRDI QIDQ1157378

Warren Dicks

Publication date: 1981

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(81)90099-2

zbMATH Keywords

generalized Weyl algebraKoszul resolutionright global dimensiongeneralized polynomial rings

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Group rings (16S34) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Homological dimension in associative algebras (16E10)

Related Items (11)

The growth function of some free products of groups ⋮ Semigroup rings ⋮ Free algebras over Bezout domains are Sylvester domains ⋮ Two results on the path algebra of a directed graph ⋮ The growth function of a graph group ⋮ Groups assembled from free and direct products ⋮ Subgroups of graph groups ⋮ Graph groups, coherence, and three-manifolds ⋮ Automorphisms of graph groups. ⋮ Tree groups and the 4-string pure braid group ⋮ Surface Subgroups of Graph Groups

Cites Work

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• On universal derivations
• Homology of certain algebras defined by graphs
• Universal derivations and universal ring constructions
• Exact sequences for mixed coproduct/tensor-product ring constructions
• Noncommutative localizations and applications
• Combinatorial problems of commutation and rearrangements
• Note on Relative Homological Dimension
• Note on the Global Dimension of a Certain Ring
• Modules Over Coproducts of Rings
• Homologie et cohomologie des algèbres de Lie

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