Results 51 to 60 of about 4,881 (233)
Monoid and Topological Groupoid
, 2018 <p>Here we introduce some new results which are relative to the concept of topological monoid-groupoid and prove that the category of topological monoid coverings of X is equivalent to the category covering groupoids of the monoid-groupoid <span
Mohammad Qasim Mann'a
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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Power monoids and finiteJ-trivial monoids
Semigroup Forum, 1984 A variety of finite monoids is a class of finite monoids closed under taking submonoids, quotients and \textit{finite} direct products. If M is a monoid, let \(P_ 1(M)\) denote the monoid of all subsets of M containing 1. If V is a variety, \(P_ 1V\) denotes the variety generated by the monoids \(P_ 1(M)\), \(M\in V\). Let J denote the variety of all J-
Pin, J.E., Margolis, S.
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, 2006 In this paper we study the factorizable braid monoid (also known as the merge-and-part braid monoid) introduced by Easdown, East and FitzGerald in 2004. We find several presentations of this monoid, and uncover an interesting connection with the singular
East, James (R16839)
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On locally compact shift-continuous topologies on the α-bicyclic monoid
Topological Algebra and its Applications, 2018 A topology τ on a monoid S is called shift-continuous if for every a, b ∈ S the two-sided shift S → S, x ↦ axb, is continuous. For every ordinal α ≤ ω, we describe all shift-continuous locally compact Hausdorff topologies on the α-bicyclic monoid Bα ...
Bardyla Serhii
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Endomorphisms and anti-endomorphisms of some finite groupoids
Журнал Средневолжского математического общества, 2022 In this paper, we study anti-endomorphisms of some finite groupoids. Previously, special groupoids $S(k, q)$ of order $k(1+k)$ with a generating set of $k$ elements were introduced.
Litavrin Andrey V.
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On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
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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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Two-sided homological properties of special and one-relator monoids
Forum of Mathematics, SigmaA monoid presentation is called special if the right-hand side of each defining relation is equal to 1. We prove results which relate the two-sided homological finiteness properties of a monoid defined by a special presentation with those of its group of
Robert D. Gray, Benjamin Steinberg
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A Levi–Civita Equation on Monoids, Two Ways
Annales Mathematicae Silesianae, 2022 We consider the Levi–Civita equation f(xy)=g1(x)h1(y)+g2(x)h2(y)f\left( {xy} \right) = {g_1}\left( x \right){h_1}\left( y \right) + {g_2}\left( x \right){h_2}\left( y \right) for unknown functions f, g1, g2, h1, h2 : S → ℂ, where S is a monoid.
Ebanks Bruce
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