Anupam Singh

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20242026

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math.RA2026

Waring Problem for matrices over finite local rings

Ram Karan Choudhary, Harish Kishnani, Anupam Singh

This paper addresses the matrix Waring problem for matrices over finite principal local rings. Let $O_{ℓ}$ be a finite principal local ring of length $ℓ$ with the m…

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…