A. Al-Maktry

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math.AC2023

A simple polynomial for a transposition over finite fields

Amr Ali Abdulkader Al-Maktry

Let $q > 2$ , and let $a$ and $b$ be two elements of the finite field $F_{q}$ with $a \neq = 0$ . Carlitz represented the transposition $(0 a)$ by a polynomial of degree $(q - 2)^{3}$ . I…

math.AC2023

On the structures of a monoid of triangular vector-permutation polynomials, its group of units and its induced group of permutations

Amr Ali Abdulkader Al-Maktry

Let $n > 1$ and let $R$ be a commutative ring with identity $1 \neq = 0$ and $R [x_{1}, \dots, x_{n}]^{n}$ the set of all $n$ -tuples of polynomials of the form $(f_{1}, \dots, f_{n}),$ where $f_1,\ld…