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The tensor product of distributive lattices II

Published online by Cambridge University Press:  20 January 2009

Grant A. Fraser
Grant A. Fraser
Affiliation:
University of Santa Clara, Santa Clara, California 95053, U.S.A.
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In this paper we continue our study of the tensor product of distributive lattices which was begun in (2). We obtain a representation of the tensor product as a ring of sets and we describe a simple way to construct the tensor product of finite distributive lattices.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 4 , September 1977 , pp. 355 - 360
Copyright
Copyright © Edinburgh Mathematical Society 1977

References

REFERENCES

(1) Birkhoff, G., Lattice theory, 3rd ed. (Amer. Math. Soc. Colloq. Publ., Vol. 25, Amer. Math. Soc, Providence, R.I., 1967).Google Scholar
(2) Fraser, G., The tensor product of distributive lattices, Proc. Edinburgh Math. Soc, 20 (1976), 121–131.CrossRefGoogle Scholar
(3) Grätzer, G., Universal algebra (Van Nostrand, Princeton, N.J., 1968).Google Scholar
(4) Grätzer, G., Lattice theory, first concepts and distributive lattices (W. H. Freeman and Co., San Francisco, Calif., 1971).Google Scholar
(5) Stone, M. H., Topological representations of distributive lattices and Brouwerian logics, Casopis Pěst. Mat. Fys. 67 (1937), 1–25.Google Scholar