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Inverses of Boolean matrices

Published online by Cambridge University Press:  18 May 2009

D. E. Rutherford
D. E. Rutherford
Affiliation:
St Salvator's College St Andrews
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This note is concerned with square matrices, denoted by capital letters, whose elements belong to aBoolean algebra with null element 0 and all element 1. Such matrices, which have important applicationsin the theory of electric circuits, can be compounded in the three following ways.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 6 , Issue 1 , January 1963 , pp. 49 - 53
Copyright
Copyright © Glasgow Mathematical Journal Trust 1963

References

REFERENCES

1.Wedderburn, J. H. M., Boolean linear associative algebra, Ann. of Math. 35 (1934), 185–194.CrossRefGoogle Scholar
2.Luce, R. D., A note on Boolean matrix theory, Proc. Amer. Math. Soc. 3 (1952), 382–388.Google Scholar