1 citations · 1 across the 6 of their papers we have counts for
6 papers
Polyominoes and Knutson ideals
Mitra Koley, Nirmal Kotal, Dharm Veer
In this article, we study two fundamental questions on polyomino ideals which are radicality and primality. In order to study the question of radicality, we initiate the study of K…
On Frobenius Betti numbers of graded rings of finite Cohen-Macaulay type
Nirmal Kotal
The notion of Frobenius Betti numbers generalizes the Hilbert-Kunz multiplicity theory and serves as an invariant that measures singularity. However, the explicit computation of th…
On the -number of Gorenstein ideals and Frobenius powers
Nirmal Kotal, Kamalesh Saha
In this paper, we show the equality of the (local) -number and Castelnuovo-Mumford regularity of certain classes of Gorenstein algebras, including the class of Gorenste…
The non--rational locus of Rees algebras
Nirmal Kotal, Manoj Kummini
In this note, we give a description of the parameter test submodule of Rees algebras. This, in turn, describes the non--rational locus.
Cohen-Macaulay permutation graphs
P. V. Cheri, Deblina Dey, Akhil K +2
In this article, we characterize Cohen-Macaulay permutation graphs. In particular, we show that a permutation graph is Cohen-Macaulay if and only if it is well-covered and there ex…
Blow-up rings and -rationality
Nirmal Kotal, Manoj Kummini
In this paper, we prove some sufficient conditions for Cohen-Macaulay normal Rees algebras to be -rational. Let be a Gorenstein normal local domain of dimensi…