M. Aijaz

collaborators

3 papers

math.RA2026

Multiplicity-One Structure in Graded Zero-Divisor Graphs

M. Aijaz, Shahnawaz A. Rather, S Pirzada

Let $H$ be a multiplicative group, $R$ a commutative $H$-graded ring, and $M$ a nonzero finitely generated gr-semisimple $H$-graded $R$-module. We assume that $M$ adm…

math.AC2026

Binomial edge ideals of bipartite complements of even cycles

Shahnawaz Ahmad Rather, S. Pirzada, M. Aijaz

Let $G_{n}$ be the bipartite complement of the even cycle $C_{2 n}$ , and let $J_{G_{n}}$ be its binomial edge ideal. For $n \geq 5$ , we study the interaction between the combinatorial str…

math.AC2026

Homological invariants of Edge Ideals associated to powers of cycles

Shahnawaz Ahmad Rather, S. Pirzada, M. Aijaz

Let $G_{n,m}=\overline{\C_n^{[m]}}$, where $\C_n^{[m]}$ denotes the closed $m$ th power of the $n$ -cycle. We study the graded Betti numbers and homological invariants of the edge ri…