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Sharp Transferability and Finite Sublattices of Free Lattices

Published online by Cambridge University Press:  20 November 2018

H. S. Gaskill  and
C. R. Platt
H. S. Gaskill
Affiliation:
University of Manitoba, Winnipeg, Manitoba
C. R. Platt
Affiliation:
University of Manitoba, Winnipeg, Manitoba
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Transferable and sharply transferable lattices were defined and characterized in [1]. Finite sublattices of free lattices were studied in [2] and a characterization of them given in [3]. In this paper, we will show that the class of finite sharply transferable lattices coincides with the class of finite sublattices of free lattices.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 5 , 01 October 1975 , pp. 1036 - 1041
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Gaskill, H., Gratzer, G., and Piatt, C. R., Transferable lattices (to appear).Google Scholar
2. Jonsson, B. and Kiefer, J., Finite sublattices of a free lattice, Can. J. Math. 14 (1962), 487–497.Google Scholar
3. McKenzie, R., Equational bases and nonmodular lattice varieties, Trans. Amer. Math. Soc. 174 (1972), 1–43.Google Scholar