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CENTER OF THE SKEW POLYNOMIAL RING OF FINITE SEQUENCES OF REAL NUMBERS
Keywords:
center, endomorphism, noncommutative, polynomial, ring, sequenceDOI:
https://doi.org/10.17654/0972087124011Abstract
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, 2024
Accepted: April 22, 2024
References
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A. K. Amir, N. Erawaty, M. Bahri, N. Fadillah and J. Gormantara, Center of the skew polynomial ring over coquaternions, Far East J. Math. Sci. (FJMS) 109(2) (2018), 261-272.
A. K. Amir, N. Erawaty, M. Bahri and A. N. Anwar, Center of the skew polynomial ring over trinion matrix, Far East J. Math. Sci. (FJMS) 127(1), (2020), 29-40.
J. C. McConnell and J. C. Robson, Non-commutative Noetherian rings, Wiley- Interscience, New York, 1987.
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