Extension of bounded root functionals of a system of polynomial equations

Simple item page
dc.creatorSeifullin, Timur R.
dc.date2008-04-15
dc.date2009-02-02
dc.date.accessioned2026-07-07T12:35:59Z
dc.date.available2026-07-07T12:35:59Z
dc.descriptionThe notion of a root functional of a system of polynomials or ideal of polynomials is a generalization of the notion of a root, in particular, for a multiple root. A root functional is a linear functional that is defined on a polynomial ring and annuls the ideal of polynomials. A bounded root functional is a functional that annuls d-th component of the ideal in some filtration in this ideal. The paper consider bounded root functionals and their extension operation for a system of polynomial equation at which the number of equations is equal to the number of unknows. The extension operation has connection with the multivariate Bezoutian construction.
dc.descriptionPublished at Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2002, no. 7, 35--42 in English. Summary translated from Ukraine
dc.identifierhttps://arxiv.org/abs/0804.2420
dc.identifierhttp://arxiv.org/abs/0804.2420
dc.identifierDopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2002, no. 7, 35--42. MR2010106 (2004m:13028)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217944
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13B25
dc.titleExtension of bounded root functionals of a system of polynomial equations
dc.typetext

Files

Collections

arXiv