Communications - Scientific Letters of the University of Zilina 2014, 16(3):65-68 | DOI: 10.26552/com.C.2014.3.65-68

Monomial Curves in Afinne Space and their Associated Prime Ideals with Six Generators as Set-Theoretic Complete Intersections

Michaela Holesova1
1 Department of Mathematics, Faculty of Humanities, University of Zilina, Slovakia

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.

Keywords: a monomial curve, an associated prime ideal, a set-theoretic complete intersection

Published: July 31, 2014  Show citation

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Holesova, M. (2014). Monomial Curves in Afinne Space and their Associated Prime Ideals with Six Generators as Set-Theoretic Complete Intersections. Communications - Scientific Letters of the University of Zilina, 16(3), 65-68. doi: 10.26552/com.C.2014.3.65-68
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