Accession Number:

ADA029029

Title:

Involutory Matrices Over Finite Commutative Rings.

Descriptive Note:

Technical rept.,

Corporate Author:

CLEMSON UNIV S C DEPT OF MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1976-07-28

Pagination or Media Count:

28.0

Abstract:

An n x n matrix is called involutory if and only if A squared I sub n where I sub n is the n x n identity matrix. This paper is concerned with involutory matrices over an arbitrary finite commutative ring R with identity and with the similarity relation among such matrices. In particular the authors seek a canonical set C with respect to similarity for the n x n involutory matrices over R i.e., a set C of n x n involutory matrices over R with the property that each n x n involutory matrix over R is similar to exactly one matrix in C.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE