CENTER OF THE SKEW POLYNOMIAL RING OF FINITE SEQUENCES OF REAL NUMBERS

Abstract

Let $R$ be a ring with identity. Then the set of polynomials $R[x ; \sigma, \delta]$ forms a ring called skew polynomial ring with multiplication rule $x a=\sigma(a) x+\delta(a)$ for all $a \in R$, where $\sigma$ is a ring endomorphism on $R$, and $\delta$ is a $\sigma$-derivation. In this paper, we consider $R$ to be the ring of finite sequence of real numbers with termwise addition and Cauchy product as multiplication and determine its centre. Received: February 15, 2024Accepted: April 22, 2024

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