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Matrices with Elements in a Boolean Ring
Published online by Cambridge University Press: 20 November 2018
Extract
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.
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- Copyright © Canadian Mathematical Society 1957