Coproducts of bounded distributive lattices: cancellation |
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| Authors: | Jonathan David Farley |
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| Institution: | (1) Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240, USA; Present address: Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720, USA, e-mail: farley@math.vanderbilt.edu, US |
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| Abstract: | Let denote the coproduct of the bounded distributive lattices L and M. At the 1981 Banff Conference on Ordered Sets, the following question was posed: What is the largest class L of finite distributive lattices such that, for every non-trivial Boolean lattice B and every implies ? In this note, the problem is solved.
Received March 2, 1999; accepted in final form July 10, 2000. |
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| Keywords: | and phrases: (generalized) Post algebra distributive lattice Boolean lattice coproduct Priestley duality (partially) ordered topological space |
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