Results 31 to 40 of about 30,322 (203)
Proceedings of the American Mathematical Society, 1978 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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On a complete topological inverse polycyclic monoid
Karpatsʹkì Matematičnì Publìkacìï, 2016 We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups.
S.O. Bardyla, O.V. Gutik
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Lossy gossip and composition of metrics [PDF]
, 2014 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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Monoidal Categories Enriched in Braided Monoidal Categories [PDF]
International Mathematics Research Notices, 2017 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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A categorical analogue of the monoid semiring construction [PDF]
, 2012 This paper introduces and studies a categorical analogue of the familiar monoid semiring construction. By introducing an axiomatisation of summation that unifies notions of summation from algebraic program semantics with various notions of summation from
Hines, Peter
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Automaton semigroup constructions [PDF]
, 2013 The aim of this paper is to investigate whether the class of automaton semigroups is closed under certain semigroup constructions. We prove that the free product of two automaton semigroups that contain left identities is again an automaton semigroup. We
Brough, Tara, Cain, Alan J.
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Journal of Knot Theory and Its Ramifications, 2002 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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Explicit Presentations for the Dual Braid Monoids [PDF]
, 2001 Birman, Ko and Lee have introduced a new monoid ${\cal B}^{*}_{n}$--with an explicit presentation--whose group of fractions is the $n$-strand braid group ${\cal B}_{n}$.
Picantin, Matthieu
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Algebraic and combinatorial structures on Baxter permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 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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Finite coverings of semigroups and related structures [PDF]
International Journal of Group Theory, 2023 For a semigroup $S$, the covering number of $S$ with respect to semigroups, $\sigma_s(S)$, is the minimum number of proper subsemigroups of $S$ whose union is $S$.
Casey Donoven, Luise-Charlotte Kappe
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