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

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8 papers · 1 filter

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.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.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.AC2014

Ideal class groups of monoid algebras

Husney Parvez Sarwar

Let $A \subset B$ be an extension of commutative reduced rings and $M \subset N$ an extension of positive commutative cancellative torsion-free monoids. We prove that $A$ is subinteg…

math.AC2014

Serre dimension and Euler class group of overrings of polynomial rings

M. K. Keshari, Husney Parvez Sarwar

Let R be a commutative Noetherian ring of dimension d and B=R[X_1,\ldots,X_m,Y_1^{\pm 1},\ldots,Y_n^{\pm 1}] a Laurent polynomial ring over R. If A=B[Y,f^{-1}] for some f\in R[Y],…