Sourjya Banerjee

collaborators

4 papers

math.KT2026

Improved injective stability for relative $K_{1} Sp$ -groups

Sourjya Banerjee, Kuntal Chakraborty

We prove a relative version of Vorst's theorem concerning the equality of the group of all invertible matrices and the group of all elementary matrices over $R [X]$ with respect to…

math.AC2025

Splitting criteria for projective modules over polynomial algebras

Sourjya Banerjee, Mrinal Kanti Das

This article investigates the splitting problem for finitely generated projective modules $P$ over affine algebras over algebraically closed fields and their polynomial extensions.…

math.AC2025

Zero cycles, Mennicke symbols and $K_{1}$ -stability of certain real affine algebras

Sourjya Banerjee

Let $R$ be a reduced real affine algebra of (Krull) dimension $d \geq 2$ such that either $R$ has no real maximal ideals, or the intersection of all real maximal ideals in $R$ has h…

math.AC2025

Stability theorems for positively graded domains and a question of Lindel

Sourjya Banerjee

Given a commutative Noetherian graded domain $R = ⨁_{i \geq 0} R_{i}$ of dimension $d \geq 2$ with $dim (R_{0}) \geq 1$ , we prove that any unimodular row of length $d + 1$ in $R$ ca…

Improved injective stability for relative K1​Sp-groups

Splitting criteria for projective modules over polynomial algebras

Zero cycles, Mennicke symbols and K1​-stability of certain real affine algebras

Stability theorems for positively graded domains and a question of Lindel

Improved injective stability for relative $K_{1} Sp$ -groups

Zero cycles, Mennicke symbols and $K_{1}$ -stability of certain real affine algebras