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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The lattice of patterns induced by a positive cone of functions


Authors: D. J. Hartfiel and C. J. Maxson
Journal: Trans. Amer. Math. Soc. 232 (1977), 43-59
MSC: Primary 06A20; Secondary 06A65
MathSciNet review: 0469837
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Abstract: This paper contains a study of a special type of lattice which arises by considering the supports of functions in a positive cone of functions. It is shown that many known combinatorial structures provide examples of such a lattice. The basic problem addressed in the paper is that of determining the structure of this lattice.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1977-0469837-9
PII: S 0002-9947(1977)0469837-9
Keywords: Combinatorial structure, lattice, positive cone
Article copyright: © Copyright 1977 American Mathematical Society