4 papers
Free Resolutions of Symmetric Algebras of Ideals with Deviation Two
Neeraj Kumar, Aniruddha Saha, Chitra Venugopal
For a graded ideal I in a graded ring, the deviation of I is defined as the difference between the minimal number of generators of I and its grade. In this article, we provide bigr…
On Positive Matching Decomposition Conjectures of Hypergraphs
Marie Amalore Nambi, Neeraj Kumar
In this paper, we prove the conjectures of Gharakhloo and Welker (2023) that the positive matching decomposition number (pmd) of a -uniform hypergraph is bounded from above by a…
On Conjecture of Binomial Edge Ideals of Linear Type
Marie Amalore Nambi, Neeraj Kumar
An ideal of a commutative ring is said to be of linear type when its Rees algebra and symmetric algebra exhibit isomorphism. In this paper, we investigate the conjecture pu…
Almost Complete Intersections: Regularity of powers and Rees algebra
Neeraj Kumar, Chitra Venugopal
An almost complete intersection ideal can be seen as a -sequence ideal with the minimal number of generators being one more than its height. In this paper, we give exact formula…