M. A. Mathew

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20212025

most citedElementary Action of Classical Groups on Unimodular Rows Over Monoid Rings

1 citations · 1 across the 4 of their papers we have counts for

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math.AC2025

$K_{1}$ -Stability of symplectic modules over monoid algebras

Rabeya Basu, Maria Ann Mathew

Let $R$ be a regular ring of dimension $d$ and $L$ be a $c$ -divisible monoid. If $K_{1} S p (R)$ is trivial and $k \geq d + 2,$ then we prove that the symplectic group ${Sp}_{2k}(R[L]…

math.AC2024★ 1 cited

Elementary Action of Classical Groups on Unimodular Rows Over Monoid Rings

Rabeya Basu, Maria Ann Mathew

The elementary action of symplectic and orthogonal groups on unimodular rows of length $2 n$ is transitive for $2 n \geq max (4, d + 2)$ in the symplectic case, and $2n \geq \max(6, 2d…

math.AC2022

On Serre dimension of monoid algebras and Segre extensions

Manoj Kumar Keshari, Maria Ann Mathew

Let $R$ be a commutative noetherian ring of dimension $d$ and $M$ be a commutative $,$ cancellative $,$ torsion-free monoid of rank $r$ . Then $S$ -$dim(R[M]) \leq max\{1, dim(R[M])-1…

math.AC2021

Unimodular rows over monoid extensions of overrings of polynomial rings

Maria A. Mathew, Manoj K. Keshari

Let $R$ be a commutative Noetherian ring of dimension $d$ and $M$ a commutative cancellative torsion-free seminormal monoid. Then (1) Let $A$ be a ring of type $R [d, m, n]$ and $P$ b…

K1​-Stability of symplectic modules over monoid algebras

Elementary Action of Classical Groups on Unimodular Rows Over Monoid Rings

On Serre dimension of monoid algebras and Segre extensions

Unimodular rows over monoid extensions of overrings of polynomial rings

$K_{1}$ -Stability of symplectic modules over monoid algebras