Rajiv Kumar

collaborators

3 papers

math.AC2026

The Mendez-Pinto-Villarreal Conjecture for some classes of monomial ideals

Paromita Bordoloi, Kanoy Kumar Das, Rajiv Kumar

Characterizing when the symbolic and ordinary powers of an ideal coincide is a central problem in commutative algebra, and ideals satisfying this property are called Simis ideals.…

math.AC2025

Hilbert Coefficients and Regularity of Binomial Edge Ideals

Kanoy Kumar Das, Rajiv Kumar, Paramhans Kushwaha

Let $G$ be a simple graph on $n$ vertices, and let $J_{G}$ denotes the corresponding binomial edge ideal in $S = K [x_{1}, \dots, x_{n}, y_{1}, \dots, y_{n}]$ , where $K$ is a fie…

math.AC2025

Application of Betti Splittings to the Regularity of Binomial Edge Ideals

Rajiv Kumar, Paramhans Kushwaha

In this paper, we use Betti splittings of binomial edge ideals to establish improved upper and lower bounds for their regularity in the case of trees. As a consequence, we determin…