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of 766
pro vyhledávání: '"STEFANELLI, PAOLA"'
We study solutions of the parametric set-theoretic reflection equation from an algebraic perspective by employing recently derived generalizations of the familiar shelves and racks, called parametric (p)-shelves and racks. Generic invertible solution
Externí odkaz:
http://arxiv.org/abs/2412.15839
The main aim of this paper is to determine reflections to bijective and non-degenerate solutions of the Yang-Baxter equation, by exploring their connections with their derived solutions. This is motivated by a recent description of left non-degenerat
Externí odkaz:
http://arxiv.org/abs/2405.19105
Publikováno v:
J. Phys. A: Math. Theor. 57 405203, 2024
We present connections between left non-degenerate solutions of the set-theoretic braid equation and left shelves using Drinfel'd homomorphisms. We generalize the notion of affine quandle, by using heap endomorphisms and metahomomorphisms, and identi
Externí odkaz:
http://arxiv.org/abs/2401.12704
Publikováno v:
Mediterr. J. Math. 2024
We prove that any set-theoretic solution of the Yang-Baxter equation associated to a dual weak brace is a strong semilattice of non-degenerate bijective solutions. This fact makes use of the description of any dual weak brace $S$ we provide in terms
Externí odkaz:
http://arxiv.org/abs/2307.03540
Publikováno v:
Annali di Matematica Pura ed Applicata (2024)
A dual weak brace is an algebraic structure $\left(S,\,+,\,\circ\right)$ including skew braces and giving rise to a set-theoretic solution of the Yang-Baxter equation. We show that such a map belongs to a family of set-theoretic solutions, called def
Externí odkaz:
http://arxiv.org/abs/2304.05235
Publikováno v:
Semigroup Forum 2024
Given a set-theoretical solution of the pentagon equation $s:S\times S\to S\times S$ on a set $S$ and writing $s(a, b)=(a\cdot b,\, \theta_a(b))$, with $\cdot$ a binary operation on $S$ and $\theta_a$ a map from $S$ into itself, for every $a\in S$, o
Externí odkaz:
http://arxiv.org/abs/2301.09944
Autor:
Stefanelli, Paola
We introduce affine structures on groups and show they form a category equivalent to that of semi-braces. In particular, such a new description of semi-braces includes that presented by Rump for braces. By specific affine structures, we provide sever
Externí odkaz:
http://arxiv.org/abs/2207.05000
Autor:
Borrow, Ray, Campbell, Helen, Caugant, Dominique A., Cherkaoui, Abdessalam, Claus, Heike, Deghmane, Ala-Eddine, Dinleyici, Ener Cagri, Harrison, Lee H., Hausdorff, William P., Bajanca-Lavado, Paula, Levy, Corinne, Mattheus, Wesley, Mikula-Pratschke, Claudia, Mölling, Paula, Sáfadi, Marco AP, Smith, Vinny, van Sorge, Nina M., Stefanelli, Paola, Taha, Muhamed-Kheir, Toropainen, Maija, Tzanakaki, Georgina, Vázquez, Julio
Publikováno v:
In Journal of Infection December 2024 89(6)
Autor:
Stefanelli, Paola
A Produção Enxuta vêm exercendo um papel cada vez mais importante durante as transformações das organizações em busca de competitividade no mercado. O nivelamento de produção surge como uma das mais importantes características da Produção
Publikováno v:
2023
In this paper, we introduce the theory of Rota-Baxter operators on Clifford semigroups, useful tools for obtaining dual weak braces, i.e., triples $\left(S,+,\circ\right)$ where $\left(S,+\right)$ and $\left(S,\circ\right)$ are Clifford semigroups su
Externí odkaz:
http://arxiv.org/abs/2204.05004