扩音器 发表于 2025-3-30 11:59:14
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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 发表于 2025-3-31 12:14:37
,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 deindices 发表于 2025-3-31 15:48:53
http://reply.papertrans.cn/17/1635/163496/163496_58.pngFILLY 发表于 2025-3-31 21:33:44
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 TamCubicle 发表于 2025-3-31 22:39:04
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.