This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively.
Soft Computing – Springer Journals
Published: Jun 2, 2018
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