5 citations · 7 across the 9 of their papers we have counts for
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math.CO2024
Triangular norms on finite lattices
Peng He, Xue-Ping Wang
This article intends to characterize triangular norms on a finite lattice. We first give a method for generating a triangular norm on an atomistic lattice by the values of atoms. T…
math.CO2019★ 1 cited
The best extending cover-preserving geometric lattices of semimodular lattices
Peng He, Xue-ping Wang
In 2010, Gábor Czédli and E. Tamás Schmidt mentioned that the best cover-preserving embedding of a given semimodular lattice is not known yet [A cover-preserving embedding of semim…
math.CO2016
Finite atomic lattices and their monomial ideals
Peng He, Xue-ping Wang
This paper primarily studies monomial ideals by their associated lcm-lattices. It first introduces notions of weak coordinatizations of finite atomic lattices which have weaker hyp…