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Matrices with Elements in a Boolean Ring

Published online by Cambridge University Press:  20 November 2018

A. T. Butson
A. T. Butson*
Affiliation:
University of Florida
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1. Introduction. Let be a Boolean ring of at least two elements containing a unit 1. Form the set of matrices A, B, … of order n having entries aiJ, bij, … (i, j = 1, 2, …, n), which are members of . A matrix U of is called unimodular if there exists a matrix V of such that VU= I, the identity matrix. Two matrices A and B are said to be left-associates if there exists a unimodular matrix U satisfying UA = B.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 47 - 59
Copyright
Copyright © Canadian Mathematical Society 1957

References

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