Results 21 to 30 of about 35,172 (254)
On presentations of Brauer-type monoids [PDF]
We obtain presentations for the Brauer monoid, the partial analogue of the Brauer monoid, and for the greatest factorizable inverse submonoid of the dual symmetric inverse monoid. In all three cases we apply the same approach, based on the realization of
Kudryavtseva, Ganna +1 more
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A representable monoid is one with enough representative functions to separate points. It is shown that the monoid algebra of a representable monoid is a proper algebra. In particular, the group algebra of a residually-finite group is a proper algebra. It is also shown that the free product of two representable monoids is again representable.
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Crystallizing the hypoplactic monoid: from quasi-Kashiwara operators to the Robinson--Schensted--Knuth-type correspondence for quasi-ribbon tableaux [PDF]
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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A Gröbner-Shirshov basis over a special type of braid monoids
The aim of this paper is to present a Gröbner-Shirshov basis for a special type of braid monoids, namely the symmetric inverse monoid In, in terms of the dex-leg ordering on the related elements of monoid.
Ahmet S. Cevik +3 more
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Monoidal Categories Enriched in Braided Monoidal Categories [PDF]
AbstractWe introduce the notion of a monoidal category enriched in a braided monoidal category $\mathcal{V}$. We set up the basic theory, and prove a classification result in terms of braided oplax monoidal functors to the Drinfeld centre of some monoidal category $\mathcal{T}$.Even the basic theory is interesting; it shares many characteristics with ...
Morrison, Scott, Penneys, David
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TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Xiaoyan, Yang, Zhongkui, Liu
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This paper gives a self-contained and complete proof of the isomorphism of freely generated monoids extracted from Temperley-Lieb algebras with monoids made of Kauffman's diagrams.
Borisavljević, Mirjana +2 more
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Lossy gossip and composition of metrics [PDF]
We study the monoid generated by n-by-n distance matrices under tropical (or min-plus) multiplication. Using the tropical geometry of the orthogonal group, we prove that this monoid is a finite polyhedral fan of dimension n(n-1)/2, and we compute the ...
Brouwer, Andries E. +2 more
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Algebraic and combinatorial structures on Baxter permutations [PDF]
We give a new construction of a Hopf subalgebra of the Hopf algebra of Free quasi-symmetric functions whose bases are indexed by objects belonging to the Baxter combinatorial family (\emphi.e.
Samuele Giraudo
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Unicyclic Graphs Whose Completely Regular Endomorphisms form a Monoid
In this paper, completely regular endomorphisms of unicyclic graphs are explored. Let G be a unicyclic graph and let c E n d ( G ) be the set of all completely regular endomorphisms of G.
Rui Gu, Hailong Hou
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