Sampat Sharma

activity

20172022

most citedNice group structure on the elementary orbit space of unimodular rows

3 citations · 4 across the 8 of their papers we have counts for

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Showing 2021Show all

4 papers · 1 filter

math.KT2021

Applications of Swan's Bertini to unimodular rows

Manoj K. Keshari, Sampat Sharma

Let $R$ be an affine algebra of dimension $d \geq 4$ over a perfect field $k$ of char $\neq = 2$ and $I$ be an ideal of $R$ . Then - Um $_{d + 1} (R, I) / E_{d + 1} (R, I)$ has nice group s…

math.AC2021

Generalised Mennicke-Newman lemma

Sampat Sharma

Mennicke--Newman lemma for unimodular rows was used by W. van der Kallen to give a group structure on the orbit set $\frac{U m _{n} ( R )}{E _{n} ( R )}$ for a commutative noetherian ring o…

math.AC2021★ 3 cited

Nice group structure on the elementary orbit space of unimodular rows

Manoj K. Keshari, Sampat Sharma

(1) If $R$ is an affine algebra of dimension $d \geq 4$ over $F_{p}$ with $p > 3$ , then the group structure on $Um_{d} (R) / E_{d} (R)$ is nice. (2) If $R$ is…

math.AC2021

Completion of skew completable unimodular rows

Sampat Sharma

Skew completable unimodular rows of odd length are completable over polynomial extension of a local ring if dimension of local ring and length of unimodular rows are same.