Anjan Gupta

activity

20122026

most citedOptimal injective stability for the symplectic

K_{1} S p

group

11 citations · 28 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.KT2015★ 11 cited

Optimal injective stability for the symplectic $K_{1} S p$ group

Anjan Gupta

If $R$ is a commutative ring, $I$ an ideal of $R$ and $v, w \in U m_{2 n} (R, I)$ then we show that $v, w$ are in the same orbit of elementary action if and only if they are in the sa…

math.KT2014★ 4 cited

On the existence of unimodular elements and cancellation of projective modules over noetherian and non-noetherian rings

Anjan Gupta

Let $R$ be a commutative ring of dimension $d$ , $S = R [X]$ or $R [X, 1/ X]$ and $P$ a finitely generated projective $S$ module of rank $r$ . Then $P$ is cancellative if $P$ has a unim…

math.KT2012

A nice group structure on the orbit space of unimodular rows-II

Anjan Gupta, Anuradha Garge, Ravi A. Rao

We establish an Excision type theorem for niceness of group structure on the orbit space of unimodular rows of length $n$ modulo elementary action. This permits us to establish nic…

Optimal injective stability for the symplectic K1​Sp group

On the existence of unimodular elements and cancellation of projective modules over noetherian and non-noetherian rings

A nice group structure on the orbit space of unimodular rows-II

Optimal injective stability for the symplectic $K_{1} S p$ group