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math.RT2025
Left-continuous pseudo-t-norms on modular lattices
Peng He, Xue-ping Wang
This article focuses on the relationship between pseudo-t-norms and the structure of lattices. First, we establish a necessary and sufficient condition for the existence of a left-…
math.RT2017
Structures of lattices which can be represented as the collection of all up-sets
Peng He, Xue-ping Wang
This paper first gives a necessary and sufficient condition that a lattice can be represented as the collection of all up-sets of a poset. Applying the condition, it obtains a…