Polynomials over a Ring which Permute the Matrices over that Ring.
Abstract
Let R denote a finite commutative ring with identity and let R sub (n x n) denote the nxn matrices over R. Each polynomial f(x) and element of R(in brackets:(x)) 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 f(x) in order that it define a permutation of R sub (n x n).
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 03, 1974
- Accession Number
- ADA009808
Entities
People
- Joel V. Brawley Jr.
Organizations
- Clemson University