Titlebook: Associahedra, Tamari Lattices and Related Structures; Tamari Memorial Fest Folkert Müller-Hoissen,Jean Marcel Pallo,Jim Stash Book 2012 Spr

擴(kuò)音器

大吃大喝

現(xiàn)實(shí)

Angiogenesis

可憎

心痛

Partial Groupoid Embeddings in Semigroups,upoid and the Gensemer/Weinert equidivisible partial groupoid, provided they satisfy an additional axiom, weak associativity. Both structures share the one mountain property. More embedding results for partial groupoids into other types of algebraic structures are presented as well.

FLIC

,Moduli Spaces of Punctured Poincaré Disks,ce of such associativity. We consider a natural generalization by considering the moduli space of marked particles on the Poincaré disk, extending Tamari’s notion of associativity based on nesting. A geometric and combinatorial construction of this space is provided, which appears in Kontsevich’s de

indices

FILLY

Tamari Lattices and the Symmetric Thompson Monoid,noid .whose Cayley graph includes all Tamari lattices. Under this correspondence, the Tamari lattice meet and join are the counterparts of the least common multiple and greatest common divisor operations in .. As an application, we show that, for every ., there exists a length . chain in the .th Tam

Cubicle

Parenthetic Remarks,ess is an important aspect. The free structures are described in various ways using wellformed words (in the spirit of some of Tamari’s papers), using string diagrams leading to forests, and in terms of rewrite rules.