Noncommutative algebras associated to complexes and graphs

DOI10.1007/s00029-001-8097-4zbMath0992.16026arXivmath/0008090OpenAlexW2048626573MaRDI QIDQ5956138

Vladimir S. Retakh, Israel M. Gel'fand, Sergei Gelfand

Publication date: 9 September 2002

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008090

zbMATH Keywords

presentationsgeneratorspolynomialsgraphscomplexeselementary symmetric functionsskew fields

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Ordinary and skew polynomial rings and semigroup rings (16S36) Equations in general fields (12E12) Syzygies, resolutions, complexes in associative algebras (16E05) Quadratic and Koszul algebras (16S37)

Related Items (6)

The AlgebraP_nIs Koszul ⋮ On a class of Koszul algebras associated to directed graphs. ⋮ Structural properties of the graph algebra \(K_3\). ⋮ Quasideterminants ⋮ Factorizations of polynomials over noncommutative algebras and sufficient sets of edges in directed graphs. ⋮ Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials

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