Sourayan Banerjee

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20232026

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math.KT2025

Homotopy Invariance of $K$ -groups using Grayson's Technique

Sourayan Banerjee

Homotopy invariance of $K$ -theory has always been a point of interest. In this article, with the help of the generators of Nil $K$ -groups using Grayson's technique, it is shown that…

math.KT2023

Lambda Module structure on higher $K$ -groups

Sourayan Banerjee, Vivek Sadhu

In this article, we show that for a quasicompact scheme $X$ and $n > 0,$ the $n$ -th $K$ -group $K_{n} (X)$ is a $λ$ -module over a $λ$ -ring $K_{0} (X)$ in the sense of Hesselholt.

math.KT2023

On the generators of Nil $K$ -groups

Sourayan Banerjee, Vivek Sadhu

In this article, we study higher Nil $K$ -groups via binary complexes. More particularly, we exhibit an explicit form of generators of higher Nil $K$ -groups in terms of binary compl…

Homotopy Invariance of K-groups using Grayson's Technique

Lambda Module structure on higher K-groups

On the generators of Nil K-groups

Homotopy Invariance of $K$ -groups using Grayson's Technique

Lambda Module structure on higher $K$ -groups

On the generators of Nil $K$ -groups