The quadratic algebras associated with pseudo-roots of noncommutative polynomials are Koszul algebras.

DOI10.1016/S0021-8693(03)00340-5zbMath1062.16036MaRDI QIDQ1882981

Shirlei Serconek, Robert Lee Wilson

Publication date: 1 October 2004

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

zbMATH Keywords

relationsquadratic algebrasKoszul algebrasnoncommutative polynomials

Mathematics Subject Classification ID

Quadratic and Koszul algebras (16S37)

Related Items (11)

Noncommutative Koszul algebras from combinatorial topology ⋮ Hilbert series of algebras associated to directed graphs. ⋮ On a class of Koszul algebras associated to directed graphs. ⋮ Hilbert series of algebras associated to directed graphs and order homology. ⋮ Structural properties of the graph algebra \(K_3\). ⋮ Splitting Polynomials in Noncommutative Algebras ⋮ The minimal non-Koszul A(Γ) ⋮ From factorizations of noncommutative polynomials to combinatorial topology. ⋮ Koszulity of splitting algebras associated with cell complexes. ⋮ Quasideterminants ⋮ Factorizations of polynomials over noncommutative algebras and sufficient sets of edges in directed graphs.

Cites Work

• A theory of noncommutative determinants and characteristic functions of graphs
• Determinants of matrices over noncommutative rings
• Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials
• Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials
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