Md. Ali Zinna

activity

20162025

most citedUnimodular Elements in Projective Modules and an analogue of a result of Mandal

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.AC2025

On set-theoretic complete intersections for smooth curves in three-dimensional affine schemes

Lisa Mandal, Md. Ali Zinna

We prove that every local complete intersection curve in $S p ec (A)$ , where $A$ is a commutative Noetherian ring of dimension three, is a set-theoretic complete intersection. An anal…

math.AC2017

Euler cycles and Mennicke symbols

Mrinal Kanti Das, Soumi Tikader, Md. Ali Zinna

Let $R$ be a smooth affine domain of dimension $d \geq 2$ over an infinite perfect field $k$ . We establish a morphism from the Euler class group $E^{d} (R)$ to $U m_{d + 1} (R) / E_{d + 1} (R)$ …

math.AC2017

$P^{1}$ -gluing for local complete intersections

Mrinal Kanti Das, Soumi Tikader, Md. Ali Zinna

We prove an analogue of the Affine Horrocks' Theorem for local complete intersection ideals of height $n$ in $R [T]$ , where $R$ is a regular domain of dimension $d$ , which is essent…

math.AC2017

From Euler class groups to Mennicke symbols and a monic inversion principle

Mrinal Kanti Das, Soumi Tikader, Md. Ali Zinna

Let $R$ be a regular domain of dimension $d \geq 2$ which is essentially of finite type over an infinite perfect field $k$ . We compare the Euler class group $E^{d} (R)$ with the van de…

math.AC2016

Existence of unimodular elements in a projective module

Manoj K. Keshari, Md. Ali Zinna

Let $R$ be an affine algebra over an algebraically closed field of characteristic $0$ with dim $(R) = n$ . Let $P$ be a projective $A = R [T_{1}, \dots, T_{k}]$ -module of rank $n$ with determi…

math.AC2016★ 1 cited

Unimodular Elements in Projective Modules and an analogue of a result of Mandal

Manoj K. Keshari, Md. Ali Zinna

Let $R$ be a Noetherian commutative ring of dimension $n$ , $A = R [X_{1}, \dots, X_{m}]$ be a polynomial ring over $R$ and $P$ be a projective $A [T]$ -module of rank $n$ . Assume that $P / T P$ …

On set-theoretic complete intersections for smooth curves in three-dimensional affine schemes

Euler cycles and Mennicke symbols

P1-gluing for local complete intersections

From Euler class groups to Mennicke symbols and a monic inversion principle

Existence of unimodular elements in a projective module

Unimodular Elements in Projective Modules and an analogue of a result of Mandal

$P^{1}$ -gluing for local complete intersections