# Accession Number:

## ADA009808

# Title:

## Polynomials over a Ring which Permute the Matrices over that Ring.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## CLEMSON UNIV S C DEPT OF MATHEMATICAL SCIENCES

# Personal Author(s):

# Report Date:

## 1974-09-03

# Pagination or Media Count:

## 16.0

# 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 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.

# Subject Categories:

- Theoretical Mathematics