Results 11 to 20 of about 31,145 (240)
Crystallizing the hypoplactic monoid: from quasi-Kashiwara operators to the Robinson--Schensted--Knuth-type correspondence for quasi-ribbon tableaux [PDF]
, 2016 Crystal graphs, in the sense of Kashiwara, carry a natural monoid structure given by identifying words labelling vertices that appear in the same position of isomorphic components of the crystal.
Cain, Alan J., Malheiro, António
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Monoid varieties with extreme properties [PDF]
, 2018 Finite monoids that generate monoid varieties with uncountably many subvarieties seem rare, and surprisingly, no finite monoid is known to generate a monoid variety with countably infinitely many subvarieties.
Jackson, Marcel, Lee, Edmond W. H.
core +2 more sources
The Hopf monoid on nonnesting supercharacters of pattern groups
, 2014 We construct supercharacter theories for a collection of unipotent matrix groups and produce a Hopf monoid from the supercharacters. These supercharacter theories are coarser than those defined by Diaconis--Isaacs for algebra groups and have ...
Andrews, Scott
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On some generalization of the bicyclic monoid [PDF]
Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna, 2020 We introduce the algebraic extension B ω of the bicyclic monoid for an arbitrary ω-closed family F subsets of ω which generalizes the bicyclic monoid, the countable semigroup of matrix units and some other combinatorial inverse semigroups.
Oleg Gutik, M. Mykhalenych
semanticscholar +1 more source
Identities and bases in the hypoplactic monoid [PDF]
Communications in Algebra, 2020 This paper presents new results on the identities satisfied by the hypoplactic monoid. We show how to embed the hypoplactic monoid of any rank strictly greater than 2 (including infinite rank) into a direct product of copies of the hypoplactic monoid of ...
Alan J. Cain +2 more
semanticscholar +1 more source
Semigroup Forum, 2021 We construct certain monoids, called tied monoids. These monoids result to be semidirect products finitely presented and commonly built from braid groups and their relatives acting on monoids of set partitions. The nature of our monoids indicate that they should give origin to new knot algebras; indeed, our tied monoids include the tied braid monoid ...
Arcis, Diego, Juyumaya, Jesús
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The talented monoid of a directed graph with applications to graph algebras [PDF]
, 2020 It is a conjecture that for the class of Leavitt path algebras associated to finite directed graphs, their graded Grothendieck groups $K_0^{\mathrm{gr}}$ are a complete invariant. For a Leavitt path algebra $L_{\mathsf k}(E)$, with coefficient in a field
L. Cordeiro, D. Gonccalves, R. Hazrat
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Monoidal Supercategories [PDF]
Communications in Mathematical Physics, 2017 42 pages, sign error in Definition 1.16 ...
Brundan, Jonathan, Ellis, Alexander P.
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On the atomicity of monoid algebras [PDF]
Journal of Algebra, 2019 Let $M$ be a commutative cancellative monoid, and let $R$ be an integral domain. The question of whether the monoid ring $R[x;M]$ is atomic provided that both $M$ and $R$ are atomic dates back to the 1980s.
J. Coykendall, F. Gotti
semanticscholar +1 more source
Logical Methods in Computer Science, 2023 We introduce monoidal width as a measure of complexity for morphisms in monoidal categories. Inspired by well-known structural width measures for graphs, like tree width and rank width, monoidal width is based on a notion of syntactic decomposition: a monoidal decomposition of a morphism is an expression in the language of monoidal categories, where ...
Elena Di Lavore, Paweł Sobociński
openaire +4 more sources