Problems of associativity: a simple proof for the lattice property of systems ordered by a semi-associative law
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Publication:2556426
DOI10.1016/0097-3165(72)90003-9zbMath0248.06003OpenAlexW1972757708WikidataQ56688566 ScholiaQ56688566MaRDI QIDQ2556426
Publication date: 1972
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0097-3165(72)90003-9
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The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders ⋮ The no gap conjecture for tame hereditary algebras ⋮ Lattices of polynomials under substitution ⋮ Pluriassociative algebras. II: The polydendriform operad and related operads. ⋮ On Tamari lattices ⋮ Two families of Newman lattices ⋮ Three Fuss-Catalan posets in interaction and their associative algebras ⋮ The Tamari block lattice: an order on saturated chains in the Tamari lattice ⋮ On the rotation distance between binary trees ⋮ Möbius functions of lattices ⋮ Chains of maximum length in the Tamari lattice ⋮ New interpretations of the higher Stasheff-Tamari orders ⋮ \(SB\)-labelings and posets with each interval homotopy equivalent to a sphere or a ball ⋮ Tamari lattices, forests and Thompson monoids ⋮ Catalan intervals and uniquely sorted permutations ⋮ Derived semidistributive lattices ⋮ Sublattices of associahedra and permutohedra ⋮ The rise-contact involution on Tamari intervals ⋮ The canonical complex of the weak order ⋮ Recursive constructions for the higher Stasheff-Tamari orders in dimension three using the outer Tamari and Tamari block posets ⋮ Geometric realizations of Tamari interval lattices via cubic coordinates ⋮ A catalanization map on the symmetric group ⋮ Automorphisms on Catalan trees and bracketings ⋮ Tamari lattices and noncrossing partitions in type \(B\) ⋮ The representation of the symmetric group on \(m\)-Tamari intervals ⋮ Triangulations, orientals, and skew monoidal categories ⋮ On a subposet of the Tamari lattice ⋮ On a ternary operad connected to the Tamari lattice ⋮ The higher Stasheff‐Tamari posets ⋮ Catalan pairs and Fishburn triples ⋮ A decidable word problem without equivalent canonical term rewriting system ⋮ Shellable nonpure complexes and posets. II ⋮ Applications of quotient posets ⋮ Les treillis pseudocomplémentés finis. (The finite pseudocomplemented lattices) ⋮ Free skew monoidal categories ⋮ Finite pseudocomplemented lattices and ``permutoedre ⋮ Primes, irreducibles and extremal lattices ⋮ On some anticyclic operads ⋮ Unnamed Item ⋮ Further bijections to pattern-avoiding valid hook configurations ⋮ Varieties of binary systems ⋮ Permutation totally symmetric self-complementary plane partitions ⋮ Why the characteristic polynomial factors ⋮ A topological representation theory for lattices ⋮ Le module dendriforme sur le groupe cyclique ⋮ The \(\nu \)-Tamari lattice via \(\nu \)-trees, \( \nu \)-bracket vectors, and subword complexes ⋮ Intervals in Catalan lattices and realizers of triangulations ⋮ Bijective link between Chapoton's new intervals and bipartite planar maps ⋮ Generating binary trees by Glivenko classes on Tamari lattices ⋮ Unnamed Item ⋮ The bounded derived categories of the Tamari lattices are fractionally Calabi-Yau ⋮ A simplicial complex splitting associativity ⋮ Quotients of the Magmatic Operad: Lattice Structures and Convergent Rewrite Systems ⋮ Intervals of balanced binary trees in the Tamari lattice ⋮ Unnamed Item ⋮ A Motzkin filter in the Tamari lattice ⋮ Counting smaller elements in the Tamari and \(m\)-Tamari lattices ⋮ An algorithm to compute the möbius function of the rotation lattice of binary trees ⋮ Motzkin subposets and Motzkin geodesics in Tamari lattices.
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