Defines (P,φ)-Tamari lattices as a generalization of the Tamari lattice and uses them to establish join-semidistributivity and related properties for higher torsion class lattices of type A algebras.
Combinatorics of (m, n) -Word Lattices
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$(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$
Defines (P,φ)-Tamari lattices as a generalization of the Tamari lattice and uses them to establish join-semidistributivity and related properties for higher torsion class lattices of type A algebras.