Canonical representatives for residue classes of a polynomial ideal and orthogonality

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dc.creatorDelgado-Eckert, Edgar
dc.date2007-06-13
dc.date.accessioned2026-07-07T08:09:52Z
dc.date.available2026-07-07T08:09:52Z
dc.descriptionThe aim of this paper is to unveil an unexpected relationship between the normal form of a polynomial with respect to a polynomial ideal and the more geometric concept of orthogonality. We present a new way to calculate the normal form of a polynomial with respect to a polynomial ideal I in the ring of multivariate polynomials over a field K, provided the field K is finite and the ideal I is a vanishing ideal. In order to use the concept of orthogonality, we introduce a symmetric bilinear form on a vector space over a finite field.
dc.description19 pages; Submitted to journal, currently under review
dc.identifierhttps://arxiv.org/abs/0706.1952
dc.identifierhttp://arxiv.org/abs/0706.1952
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131670
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13P10; 15A63
dc.titleCanonical representatives for residue classes of a polynomial ideal and orthogonality
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