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math.AC2003★ 1 cited
Generic Cohen-Macaulay monomial ideals
Abdul Salam Jarrah, Reinhard Laubenbacher
Given a simplicial complex, it is easy to construct a generic deformation of its Stanley-Reisner ideal. The main question under investigation in this paper is how to characterize t…
math.AC2001
Integral Closures of Cohen-Macaulay monomial ideals
Abdul Salam Jarrah
The purpose of this paper is to present a family of Cohen-Macaulay monomial ideals such that their integral closures have embedded components and hence are not Cohen-Macaulay.
math.AC2001
Generic ideals and Moreno-Soc{\'ı}as conjecture
Edith Aguirre, Abdul Salam Jarrah, Reinhard Laubenbacher +2
Let be homogeneous polynomials generating a generic ideal in the ring of polynomials in variables over an infinite field. Moreno-Socías conjectured that for…