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The tensor product of distributive lattices. (English) Zbl 0426.06003

MSC:
06A15 Galois correspondences, closure operators (in relation to ordered sets)
06F10 Noether lattices
06D05 Structure and representation theory of distributive lattices
06D10 Complete distributivity
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References:
[1] B. Banachewski andE. Nelson,Tensor products and bimorphism. Canad. Math. Bull. 19 (1976) 385–402. · Zbl 0392.18003 · doi:10.4153/CMB-1976-060-2
[2] G. Birkhoff,Lattice Theory, Amer. Math. Soc. Colloquium Publications, 3rd edition, Rhode Island, 1967. · Zbl 0153.02501
[3] P. Crawley andR. P. Dilworth,Algebraic Theory of Lattices, Prentice-Hall, Englewood Cliffs, N.J., 1973. · Zbl 0494.06001
[4] G. Grätzer andE. T. Schmidt,On the lattice of all join endormorphisms of a lattice, Proc. Amer. Math. Soc.9 (1958), 722–726. · Zbl 0087.26104 · doi:10.1090/S0002-9939-1958-0095794-7
[5] G. Grätzer,Lattice Theory, First Concepts and Distributivity, W. H. Freeman and Co., San Francisco, 1971.
[6] JarmilaLisá,Cardinal sums and direct products in Galois connections, Commen. Math. Univ. Car.14 (1973), 325–338. · Zbl 0265.06004
[7] E. Nelson,Galois connections as left adjoint maps. Commen. Math. Univ. Car.,17 (1976). 523–541. · Zbl 0344.06003
[8] Z. Shmuely,The structure of Galois connections, Pacific J. Math.54 (1974), 209–225. · Zbl 0275.06003
[9] G. Szász,Introduction to Lattice Theory, Academic Press, New York, 1963.
[10] O. Zariski andP. Samuel,Commutative Algebra, Van Nostrand Company, Princeton, New Jersey, 1962.
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