Results 11 to 20 of about 123,103 (378)
Schur covers of skew braces [PDF]
Journal of Algebra, 2023 We develop the theory of Schur covers of finite skew braces. We prove the existence of at least one Schur cover. We also compute several examples. We prove that different Schur covers are isoclinic.
T. Letourmy, Leandro Vendramin
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On Skew Braces (with an appendix by N. Byott and L. Vendramin) [PDF]
, 2017 Braces are generalizations of radical rings, introduced by Rump to study involutive non-degenerate set-theoretical solutions of the Yang-Baxter equation (YBE).
Smoktunowicz, Agata, Vendramin, L.
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Isoclinism of skew braces [PDF]
Bulletin of the London Mathematical Society, 2023 We define isoclinism of skew braces and present several applications. We study some properties of skew braces that are invariant under isoclinism. For example, we prove that right nilpotency is an isoclinism invariant.
T. Letourmy, Leandro Vendramin
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Soluble skew left braces and soluble solutions of the Yang-Baxter equation [PDF]
Advances in Mathematics, 2023 The study of non-degenerate set-theoretic solutions of the Yang-Baxter equation calls for a deep understanding of the algebraic structure of a skew left brace. In this paper, the skew brace theoretical property of solubility is introduced and studied. It
A. Ballester-Bolinches +3 more
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Central nilpotency of left skew braces and solutions of the Yang–Baxter equation [PDF]
Pacific Journal of Mathematics, 2023 Nipotency of skew braces is related to certain types of solutions of the Yang-Baxter equation. This paper delves into the study of centrally nilpotent skew braces.
A. Ballester-Bolinches +4 more
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Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation [PDF]
Communications in Contemporary Mathematics, 2022 We study relations between different notions of nilpotency in the context of skew braces and applications to the structure of solutions to the Yang-Baxter equation.
E. Jespers +2 more
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On bi-skew braces and brace blocks [PDF]
Journal of Pure and Applied Algebra, 2022 L. N. Childs defined a bi-skew brace to be a skew brace such that if we swap the role of the two operations, then we find again a skew brace. In this paper, we give a systematic analysis of bi-skew braces.
L. Stefanello, S. Trappeniers
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A State-of-the-Art Review of Passive Energy Dissipation Systems in Steel Braces
Buildings, 2023 An extensive investigation of the international literature is carried out regarding the passive energy dissipation systems and more specifically the dampers that can be positioned in steel braces to increase the absorption of seismic energy and to ...
M. Titirla
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On the connection between Hopf–Galois structures and skew braces [PDF]
Bulletin of the London Mathematical Society, 2022 We present a different version of the well‐known connection between Hopf–Galois structures and skew braces, building on a recent paper of A. Koch and P. J. Truman.
L. Stefanello, S. Trappeniers
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On the passage from finite braces to pre-Lie rings [PDF]
Advances in Mathematics, 2022 Let p be a prime number. We show that there is a one-to-one correspondence between the set of strongly nilpotent braces and the set of nilpotent pre-Lie rings of cardinality p n , for sufficiently large p .
A. Smoktunowicz
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