Algebras associated to pseudo-roots of noncommutative polynomials are Koszul

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dc.creatorPiontkovski, Dmitri
dc.date2004-05-19
dc.date.accessioned2026-07-07T06:18:07Z
dc.date.available2026-07-07T06:18:07Z
dc.descriptionQuadratic algebras associated to pseudo-roots of noncommutative polynomials have been introduced by I. Gelfand, Retakh, and Wilson in connection with studying the decompositions of noncommutative polynomials. Later they (with S. Gelfand and Serconek) shown that the Hilbert series of these algebras and their quadratic duals satisfy the necessary condition for Koszulity. It is proved in this note that these algebras are Koszul.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0405375
dc.identifierhttp://arxiv.org/abs/math/0405375
dc.identifierInt. J. Algebra Comp., 15(2005), 4, 643-648
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94629
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16S37; 16W30
dc.titleAlgebras associated to pseudo-roots of noncommutative polynomials are Koszul
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