Prachi Saini

activity

20232026

most citedSurjectivity of polynomial maps on Matrices

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.RA2026

Generalized Commutator on Octonion Algebra

Thiago Castilho De Mello, Prachi Saini

Let $O$ be an octonion algebra over a field $F$ of characteristic different from $2$ , and let $A, B \in O$ , not both zero. We study the image of the generalized comm…

math.RA2026

Polynomial Maps with Constants on Matrix Algebra

Prachi Saini, Anupam Singh

Let $A$ be an $F$ -algebra and $ω \in A ⟨ x_{1}, \dots, x_{m} ⟩$ which defines a map $A^{m} \to A$ by evaluation, called a p…

math.RA2025

Polynomial maps with constants on split octonion algebras

Saikat Panja, Prachi Saini, Anupam Singh

Let $O (F)$ be the split octonion algebra over an algebraically closed field $F$ . For positive integers $k_{1}, k_{2} \geq 2$ , we study surjectivity of the map…

math.GR2023

Images of polynomial maps with constants

Saikat Panja, Prachi Saini, Anupam Singh

Let $K$ be an algebraically closed field and $M (2, K)$ be the $2 \times 2$ matrix algebra over $K$ and $GL (2, K)$ be the invertible elements in $M (2, K)$ . We…

math.GR2023★ 1 cited

Surjectivity of polynomial maps on Matrices

Saikat Panja, Prachi Saini, Anupam Singh

For $n \geq 2$ , we consider the map on $M_{n} (K)$ given by evaluation of a polynomial $f (X_{1}, \dots, X_{m})$ over the field $K$ . In this article, we explore the image o…