PT - JOURNAL ARTICLE AU - Holesova, Michaela TI - Monomial Curves in Afinne Space and their Associated Prime Ideals with Six Generators as Set-Theoretic Complete Intersections DP - 2014 Jul 31 TA - Communications - Scientific Letters of the University of Zilina PG - 65--68 VI - 16 IP - 3 AID - 10.26552/com.C.2014.3.65-68 IS - 13354205 AB - 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.