Monomial Curves in Afinne Space and their Associated Prime Ideals with Six Generators as Set-Theoretic Complete Intersections
Monomial Curves in Afinne Space and their Associated Prime Ideals with Six Generators as Set-Theoretic Complete Intersections
Author(s): Michaela HolesovaSubject(s): Methodology and research technology
Published by: Žilinská univerzita v Žilině
Keywords: A monomial curve; an associated prime ideal; a set-theoretic complete intersection;
Summary/Abstract: The paper deals with the problem of the expression of associated prime ideals of monomial curves in the affine space A4 as set-theoretic complete intersections. We describe some associated prime ideals, a minimal generating set of which has six elements and we prove that these ideals are set-theoretic complete intersections. Corresponding monomial curves are intersections of three hypersurfaces and we find the equations of these hypersurfaces.
Journal: Komunikácie - vedecké listy Žilinskej univerzity v Žiline
- Issue Year: 16/2014
- Issue No: 3
- Page Range: 65-68
- Page Count: 4
- Language: English
