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⋏-distributive Boolean matrices

Published online by Cambridge University Press:  18 May 2009

T. S. Blyth
T. S. Blyth
Affiliation:
St Salvator's CollegeSt Andrews
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In this paper we shall be concerned with the set Mn(B) of n x n matrices whose elements belong to a given Boolean algebra B(≤, ∪,∩,').

It is well known that Mn(B) also forms a Boolean algebra with respect to the partial ordering ≼ defined by

in which union (⋎), intersection (⋏) and complementation (*) are given by

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 7 , Issue 2 , July 1965 , pp. 93 - 100
Copyright
Copyright © Glasgow Mathematical Journal Trust 1965

References

REFERENCES

1.Rutherford, D. E., Inverses of Boolean matrices, Proc. Glasgow Math. Assoc. 6 (1963), 49–53.CrossRefGoogle Scholar