4 citations · 5 across the 2 of their papers we have counts for
6 papers
Results on the normality of square-free monomial ideals and cover ideals under some graph operations
Ibrahim Al-Ayyoub, Mehrdad Nasernejad, Kazem Khashyarmanesh +2
In this paper, we introduce techniques for producing normal square-free monomial ideals from old such ideals. These techniques are then used to investigate the normality of cover i…
Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof
Ibrahim Al-Ayyoub
Let K be a field and let m_0,...,m_{n} be an almost arithmetic sequence of positive integers. Let C be a toric variety in the affine (n+1)-space, defined parametrically by x_0=t^{m…
An Algorithm for Computing the Ratliff-Rush Closure
Ibrahim Al-Ayyoub
Let I\subset K[x,y] be a <x,y>-primary monomial ideal where K is a field. This paper produces an algorithm for computing the Ratliff-Rush closure I for the ideal I=<m_0,...,m_{n}>…
Results on the Ratliff-Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves
Ibrahim Al-Ayyoub
Starting from \cite{Ayy2} we compute the Groebner basis for the defining ideal, P, of the monomial curves that correspond to arithmetic sequences, and then give an elegant descript…
Normality of Monomial Ideals
Ibrahim Al-Ayyoub
Given the monomial ideal I=(x_1^{α_1},...,x_{n}^{α_{n}})\subset K[x_1,...,x_{n}] where α_{i} are positive integers and K a field and let J be the integral closure of I . It is a ch…
A Minimal Groebner Basis for the Defining Ideals of Certain Affine Monomial Curves
Ibrahim Al-Ayyoub
In this article we produce Groebner bases for the defining ideal of a monomial curve that corresponds to an almost arithmetic sequence of positive integers, correcting previous wor…