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IX.—Orthogonal Boolean Matrices*

Published online by Cambridge University Press:  14 February 2012

D. E. Rutherford
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Synopsis

Many results concerning real orthogonal matrices have their counterparts in the theory of orthogonal Boolean matrices. In particular, the analogues for Boolean matrices of certain theorems due to Kronecker are established. The structure of the group of orthogonal Boolean matrices of order n is determined in the case where the underlying Boolean algebra is finite.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 67 , Issue 2 , 1965 , pp. 126 - 135
Copyright
Copyright © Royal Society of Edinburgh 1965

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References

References to Literature

Kronecker, L., 1890. S. B. Preuss. Akad. Wiss., 40, 1068–1071.Google Scholar
Rutherford, D. E., 1963. Proc. Glasg. Math. Ass., 6, 49–53.CrossRefGoogle Scholar
Wedderburn, J. H. M., 1934. Ann. Math., Princeton, 35, 185–194.CrossRefGoogle Scholar