Polynomials over a Ring which Permute the Matrices over that Ring.
CLEMSON UNIV S C DEPT OF MATHEMATICAL SCIENCES
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Let R denote a finite commutative ring with identity and let R sub n x n denote the nxn matrices over R. Each polynomial fx and element of Rin bracketsx defines, via substitution a function from R sub n x n to R sub n x n. In this paper necessary and sufficient conditions are given on a polynomial fx in order that it define a permutation of R sub n x n.
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