M. A. Mathew

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20212025

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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.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

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