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Functions and equations in classes of distributive lattices with pseudocomplementation

Published online by Cambridge University Press:  20 January 2009

R. Beazer
Affiliation:
The University of Glasgow, Glasgow G12 8QW
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In (8), R. L. Goodstein gave necessary and sufficient conditions for the solvability of equations over distributive lattices with 0 and 1 together with an algorithm for computing a solution whenever one exists. In addition, the same problem was considered for a special class of equations over distributive lattices with pseudocomplementation. The validity of several of Goodstein's results for distributive lattices without 0 and 1 was pointed out by Rudeanu in (15) and (16).

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1974

References

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