Husney Parvez Sarwar

activity

20142025

most cited

K

-theory of monoid algebras and a question of Gubeladze

8 citations · 17 across the 11 of their papers we have counts for

collaborators

12 papers

math.AC2025

Subintegrality and ideal class groups of monoid algebras

Md Abu Raihan, Leslie G. Roberts, Husney Parvez Sarwar

$(1)$ Let $M \subset N$ be a commutative cancellative torsion-free and subintegral extension of monoids. Then we prove that in the case of ring extension $A [M] \subset A [N]$ , the two…

math.AC2024

Projective modules over Rees-like algebras and its monoid extensions

Chandan Bhaumik, Md Abu Raihan, Husney Parvez Sarwar

Let $A$ be a Rees-like algebra of dimension $d$ and $N$ a commutative partially cancellative torsion-free seminormal monoid. We prove the following results. \begin{enumerate} \item…

math.AG2023

Cancellation and splitting of Symplectic modules in the critical range and Euler class group

Rakesh Pawar, Husney Parvez Sarwar

In this paper, we discuss the cancellation and splitting of the symplectic modules. The symplectic cancellation result presented here can be thought of as an analog of the Projecti…

math.AC2023

Efficient generation, unimodular element in a geometric subring of a polynomial ring

Sourjya Banerjee, Chandan Bhaumik, Husney Parvez Sarwar

Let $R$ be a commutative Noetherian ring of dimension $d$ . First, we define the "geometric subring" $A$ of a polynomial ring $R [T]$ of dimension $d + 1$ (the definition of geometric…

math.AC2023★ 2 cited

Existence of unimodular element in a projective module over symbolic Rees algebras

Chandan Bhaumik, Husney Parvez Sarwar

Let $A$ be a symbolic (or an extended symbolic) Rees algebra (need not be Noetherian) of dimension $d$ . Let $P$ be a finitely generated projective $A$ -module of rank $\geq$ $d$ . Th…

math.KT2021

The third homology of symplectic groups and algebraic K-theory

Marco Schlichting, Husney Parvez Sarwar

We improve the homology stability range for the 3rd integral homology of symplectic groups over commutative local rings with infinite residue field. As an application, we show that…

math.AG2019

Negative $K$ -theory and Chow group of monoid algebras

Amalendu Krishna, Husney Parvez Sarwar

We show, for a finitely generated partially cancellative torsion-free commutative monoid $M$ , that $K_{i} (R) ≅ K_{i} (R [M])$ whenever $i \leq - d$ and $R$ is a quasi-excellent $\Q$-al…

math.AC2018★ 7 cited

Stability results for projective modules over Rees algebras

Ravi A. Rao, Husney Parvez Sarwar

We provide a class of commutative Noetherian domains $R$ of dimension $d$ such that every finitely generated projective $R$ -module $P$ of rank $d$ splits off a free summand of rank…

math.AC2016

Serre Dimension of Monoid Algebras

Manoj K. Keshari, Husney Parvez Sarwar

Let $R$ be a commutative Noetherian ring of dimension $d$ , $M$ a commutative cancellative torsion-free monoid of rank $r$ and $P$ a finitely generated projective $R [M]$ -module of r…

math.AG2016★ 8 cited

$K$ -theory of monoid algebras and a question of Gubeladze

Amalendu Krishna, Husney Parvez Sarwar

We show that for any commutative noetherian regular ring $R$ containing $\Q$, the map $K_{1} (R) \to K_{1} (\frac{R [ x _{1} , \dots , x _{4} ]}{( x _{1} x _{2} - x _{3} x _{4} )})$ is an isomorphism. This answe…

math.AC2014

Ideal class groups of monoid algebras