Results 61 to 70 of about 340,049 (197)
THE WELL-ORDERING OF DUAL BRAID MONOID
We describe the restriction of the Dehornoy ordering of braids to the dual braid monoids introduced by Birman, Ko and Lee: we give an inductive characterization of the ordering of the dual braid monoids and compute the corresponding ordinal type. The proof consists in introducing a new ordering on the dual braid monoid using the rotating normal form ...
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Representable semilattice-ordered monoids [PDF]
We show that no finite set of first-order axioms can define the class of representable semilattice-ordered monoids.
Robin Hirsch, Szabolcs Mikulás
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Geometric inverse semigroup theory: a note on the Milnor–Schwarz lemma for inverse monoids
Abstract We generalise the Milnor–Schwarz lemma to inverse monoids acting on presheaves of geodesic metric spaces. We provide two proofs of this fact: one only uses elementary techniques, inspired by the arguments for group actions on metric spaces; the other involves a version of the Vietoris–Rips complex, and builds on work of Chung–Martínez–Szakács.
Giorgio Mangioni, Francesco Tesolin
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Noetherian properties in composite generalized power series rings
Let (Γ,≤)({\mathrm{\Gamma}},\le ) be a strictly ordered monoid, and let Γ⁎=Γ\{0}{{\mathrm{\Gamma}}}^{\ast }\left={\mathrm{\Gamma}}\backslash \{0\}. Let D⊆ED\subseteq E be an extension of commutative rings with identity, and let I be a nonzero proper ...
Lim Jung Wook, Oh Dong Yeol
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A well-ordering of dual braid monoids [PDF]
Let B n + ∗ denote the dual braid monoid on n
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Interpolation categories for conformal embeddings
Abstract In this paper, we give a diagrammatic description of the categories of modules coming from the conformal embeddings V(slN,N)⊂V(soN2−1,1)$\mathcal{V}({\mathfrak{sl}}_{N},N)\subset \mathcal{V}({\mathfrak{so}}_{{N}^{2}-1},1)$. A small variant of this construction (morally corresponding to a conformal embedding of glN${\mathfrak{gl}}_{N}$ level N ...
Cain Edie‐Michell, Noah Snyder
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Naturally ordered regular semigroups with an inverse monoid transversal
The notion of an inverse transversal of a regular semigroup is well-known. Here we investigate naturally ordered regular semigroups that have an inverse transversal.
Santos, M. H. Almeida, Blyth, T. S.
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On well quasi orders of free monoids
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Lucian Ilie, Arto Salomaa
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On the positivity and integrality of coefficients of mirror maps
Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
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Let $n \in \mathbb{Z}^{+}$ and $X_{n}=\{1,2,\ldots,n\}$ be a finite set. Let $\mathcal ODCT_{n}$ be the order-preserving and order-decreasing full contraction mappings on $X_{n}$. It is well known that $\mathcal ODCT_{n}$ is a monoid. In this paper, we have found the monoid rank and monoid presentation of $\mathcal ODCT_{n}$.
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