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On the Möbius function of a non-singular binary relation

Published online by Cambridge University Press:  17 April 2009

P. D. Finch
P. D. Finch
Affiliation:
Monash University, Clayton, Victoria.
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Abstract

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Some of the results in the theory of Möbius functions of finite partially ordered sets are extended to arbitrary non-singular binary relations on finite sets.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 2 , October 1970 , pp. 155 - 162
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Crapo, Henry H., “The Möbius function of a lattice”, J. Combinatorial Theory 1 (1966), 126–131.CrossRefGoogle Scholar
[2]Rota, Gian-Carlo, “On the foundations of combinatorial theory I. Theory of Mübius functions”, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2 (1964), 340–368.CrossRefGoogle Scholar