Chwas Ahmed

activity

20152026

most citedThe graded Betti numbers of truncation of ideals in polynomial rings

1 citations · 1 across the 5 of their papers we have counts for

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math.AC2026

Regularity of Symbolic Powers of Co-Chordal Edge Ideals

Chwas Ahmed, Mohammed Rafiq Namiq

Let $G$ be a finite simple co-chordal graph with at least one edge, and let $I (G)$ be its edge ideal. Over an arbitrary field, we prove that the symbolic powers of $I (G)$ satisfy $…

math.AC2022★ 1 cited

The graded Betti numbers of truncation of ideals in polynomial rings

Chwas Ahmed, Ralf Fröberg, Mohammed Rafiq Namiq

Let $R = K [x_{1}, \dots, x_{n}]$ , a graded algebra $S = R / I$ satisfies $N_{k, p}$ if $I$ is generated in degree $k$ , and the graded minimal resolution is linear the first $p$ steps,…

math.AC2022

Quasi-forest simplicial complexes and almost Cohen-Macaulay

Chwas Ahmed, Amir Mafi, Mohammed Rafiq Namiq

In this paper we study the quasi-forest simplicial complexes and we define the concept of simplicial $k$ -cycle (denoted by $S_{k}$ ) and simplicial $k$ -point (denoted by $\m…

math.AC2022

Sequentially Cohen-Macaulay Co-Chordal Graphs: Structure and Projective Dimension

Chwas Ahmed, Amir Mafi, Mohammed Rafiq Namiq

We introduce a class of chordal graphs called ( $d_{1}$ , $d_{2}$ , $\dots$ , $d_{q}$ )-trees. A graph belongs to this class if and only if its clique complex is sequentially Cohen-Macaulay, pro…