Mohammed Rafiq Namiq

collaborators

5 papers

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.CO2026

A Complete Classification of 2-Linear Neighborhood Complexes

Mohammed Rafiq Namiq

Let $G$ be a nonempty finite simple graph. We study when the Stanley-Reisner ideal of its neighborhood complex has a $2$ -linear resolution. Combining Fröberg's theorem with the cla…

math.AC2026

Betti Numbers of Sequentially Cohen-Macaulay Co-Chordal Graphs and Their Applications

Mohammed Rafiq Namiq

We study edge ideals of sequentially Cohen-Macaulay co-chordal graphs through the maximal-clique structure of their chordal complements. After making the required construction orde…

math.AC2025

Initially Cohen-Macaulay Modules

Mohammed Rafiq Namiq

In this paper, we introduce initially Cohen-Macaulay modules over a commutative Noetherian local ring $R$ , a new class of $R$ -modules that generalizes both Cohen-Macaulay and seque…

math.AC2025

The Graded Betti Numbers of the Skeletons of Simplicial Complexes

Mohammed Rafiq Namiq

In this paper, we study a class $C$ of squarefree monomial ideals $I \subseteq R = K [x_{1}, \dots, x_{n}]$ over a field $K$ , defined by the condition that $\dim…