Prachi Saini

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20232026

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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…