On the cohomology of one-relator associative algebras

DOI10.1016/0021-8693(85)90075-4zbMath0588.16014OpenAlexW2028435246MaRDI QIDQ1073147

Warren Dicks

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90075-4

zbMATH Keywords

free algebrahomological characterizationone-relator algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite rings and finite-dimensional associative algebras (16P10) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological methods in associative algebras (16Exx)

Related Items (6)

Growth of graded noetherian rings ⋮ Homogeneous algebras via homogeneous triples ⋮ Homological criteria for minimal multiplicity ⋮ Graded algebras and their differential graded extensions. ⋮ Non-noetherian regular rings of dimension 2 ⋮ Homogeneous triples for homogeneous algebras with two relations

Cites Work

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• Cohomology theory of groups with a single defining relation
• A Free Algebra can Be Free as a Module over a Nonfree Subalgebra
• A Matrix Representation for Associative Algebras. I
• On a Theorem of Cohen and Lyndon About Free Bases for Normal Subgroups
• Homogeneous elements of free algebras have free idealizers

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