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

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

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.

Author Biography

Michaela Holesova

Department of Mathematics, Faculty of Humanities, University of Zilina, Slovakia

Published
2014-07-31
How to Cite
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. Retrieved from http://journals.uniza.sk/index.php/communications/article/view/527
Issue
Vol 16 No 3 (2014)
Section
Articles