Finite lattices and Koszul Filtrations
Dancheng Lu, Ke Zhang
TL;DR
This paper explores the relationship between finite lattices and Koszul filtrations, providing a characterization of distributive lattices through specific classes of these filtrations.
Contribution
It introduces a novel characterization of finite distributive lattices based on the existence of particular Koszul filtrations.
Findings
Finite distributive lattices are characterized by certain Koszul filtrations.
The paper establishes a link between lattice distributivity and algebraic filtrations.
Abstract
We characterize when a finite lattice is distributive by the existences of some particular classes of Koszul filtrations.
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Taxonomy
TopicsAdvanced Algebra and Logic · Algebraic structures and combinatorial models