Confluence and Koszulity

DOI10.1006/jabr.1997.7249zbMath0915.16025OpenAlexW2011081471MaRDI QIDQ1268097

Roland Berger

Publication date: 11 April 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7249

zbMATH Keywords

tensor algebraspolynomial algebrasconfluencequadratic algebrasKoszul complexesreduction operatorsDiamond Lemma

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Vector and tensor algebra, theory of invariants (15A72) Graded rings and modules (associative rings and algebras) (16W50) Multilinear algebra, tensor calculus (15A69) Other algebras built from modules (15A78)

Related Items (14)

Confluence algebras and acyclicity of the Koszul complex ⋮ The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary ⋮ Reduction operators and completion of rewriting systems ⋮ Representations of non-commutative quantum groups ⋮ \(d\)-Koszul algebras, 2-\(d\)-determined algebras and 2-\(d\)-Koszul algebras. ⋮ Shuffle polygraphic resolutions for operads ⋮ A lattice formulation of the noncommutative F4 procedure ⋮ Noncommutative Gröbner Bases: Applications and Generalizations ⋮ \(N\)-homogeneous superalgebras. ⋮ Koszulity for nonquadratic algebras. ⋮ Convergent presentations and polygraphic resolutions of associative algebras ⋮ Syzygies among reduction operators ⋮ Topological rewriting systems applied to standard bases and syntactic algebras ⋮ Homogeneous algebras.

Cites Work

• Unnamed Item
• Some remarks on Koszul algebras and quantum groups
• Koszul duality
• Representation theory of the 0-Hecke algebra
• The diamond lemma for ring theory
• Quantized Koszul complexes
• Homological properties of Sklyanin algebras
• On the Homology of Associative Algebras
• Determination of a class of Poincaré series.
• Koszul Duality Patterns in Representation Theory
• Koszul Resolutions

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