Relevant bibliographies by topics / Skew brace

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Skew brace'

Author: Grafiati
Published: 9 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Skew brace"

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Wang, Ximu, Chongxia Zhang, and Liangyun Zhang. "Rota–Baxter Operators on Skew Braces." Mathematics 12, no. 11 (2024): 1671. http://dx.doi.org/10.3390/math12111671.

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In this paper, we introduce the concept of Rota–Baxter skew braces, and provide classifications of Rota–Baxter operators on various skew braces, such as (Z,+,∘) and (Z/(4),+,∘). We also present a necessary and sufficient condition for a skew brace to be a co-inverse skew brace. Additionally, we describe some constructions of Rota–Baxter quasiskew braces, and demonstrate that every Rota–Baxter skew brace can induce a quasigroup and a Rota–Baxter quasiskew brace.
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Rump, Wolfgang. "Set-theoretic solutions to the Yang–Baxter equation, skew-braces, and related near-rings." Journal of Algebra and Its Applications 18, no. 08 (2019): 1950145. http://dx.doi.org/10.1142/s0219498819501457.

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Skew-braces have been introduced recently by Guarnieri and Vendramin. The structure group of a non-degenerate solution to the Yang–Baxter equation is a skew-brace, and every skew-brace gives a set-theoretic solution to the Yang–Baxter equation. It is proved that skew-braces arise from near-rings with a distinguished exponential map. For a fixed skew-brace, the corresponding near-rings with exponential form a category. The terminal object is a near-ring of self-maps, while the initial object is a near-ring which gives a complete invariant of the skew-brace. The radicals of split local near-ring
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De Commer, K. "Actions of skew braces and set-theoretic solutions of the reflection equation." Proceedings of the Edinburgh Mathematical Society 62, no. 4 (2019): 1089–113. http://dx.doi.org/10.1017/s0013091519000129.

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AbstractA skew brace, as introduced by L. Guarnieri and L. Vendramin, is a set with two group structures interacting in a particular way. When one of the group structures is abelian, one gets back the notion of brace as introduced by W. Rump. Skew braces can be used to construct solutions of the quantum Yang–Baxter equation. In this article, we introduce a notion of action of a skew brace, and show how it leads to solutions of the closely associated reflection equation.
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Catino, Francesco, Ilaria Colazzo, and Paola Stefanelli. "Skew left braces with non-trivial annihilator." Journal of Algebra and Its Applications 18, no. 02 (2019): 1950033. http://dx.doi.org/10.1142/s0219498819500336.

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We describe the class of all skew left braces with non-trivial annihilator through ideal extension of a skew left brace. The ideal extension of skew left braces is a generalization to the non-abelian case of the extension of left braces provided by Bachiller in [D. Bachiller, Extensions, matched products, and simple braces, J. Pure Appl. Algebra 222 (2018) 1670–1691].
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Koch, Alan. "Abelian maps, bi-skew braces, and opposite pairs of Hopf-Galois structures." Proceedings of the American Mathematical Society, Series B 8, no. 16 (2021): 189–203. http://dx.doi.org/10.1090/bproc/87.

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Let G G be a finite nonabelian group, and let ψ : G → G \psi :G\to G be a homomorphism with abelian image. We show how ψ \psi gives rise to two Hopf-Galois structures on a Galois extension L / K L/K with Galois group (isomorphic to) G G ; one of these structures generalizes the construction given by a “fixed point free abelian endomorphism” introduced by Childs in 2013. We construct the skew left brace corresponding to each of the two Hopf-Galois structures above. We will show that one of the skew left braces is in fact a bi-skew brace, allowing us to obtain four set-theoretic solutions to the
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Vendramin, Leandro. "What is... a Skew Brace?" Notices of the American Mathematical Society 71, no. 01 (2024): 1. http://dx.doi.org/10.1090/noti2855.

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Bachiller, David. "Solutions of the Yang–Baxter equation associated to skew left braces, with applications to racks." Journal of Knot Theory and Its Ramifications 27, no. 08 (2018): 1850055. http://dx.doi.org/10.1142/s0218216518500554.

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Given a skew left brace [Formula: see text], a method is given to construct all the non-degenerate set-theoretic solutions [Formula: see text] of the Yang–Baxter equation such that the associated permutation group [Formula: see text] is isomorphic, as a skew left brace, to [Formula: see text]. This method depends entirely on the brace structure of [Formula: see text]. We then adapt this method to show how to construct solutions with additional properties, like square-free, involutive or irretractable solutions. Using this result, it is even possible to recover racks from their permutation grou
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Mauffrey, Océane, Kevin Yu, Malvika Choudhari, Ashley Lynn Habig, Alec Pugh, and Vinay Narotam. "Bracing for Impact: A Survey Analysis of the Impact of Socioeconomic Factors on Brace Adherence in Clubfoot." Journal of Clinical Orthopaedics 10, no. 1 (2025): 4–7. https://doi.org/10.13107/jcorth.2025.v10i01.702.

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Background: Clubfoot is a congenital deformity characterized by cavus deformity of the midfoot, adductus of the forefoot and equinus and varus of the hindfoot. The Ponseti method, a series of casting and bracing protocols has become the standard of care as a highly effective non-surgical intervention. Poor adherence with stringent brace wearing protocols has been identified as one of the leading causes of deformity recurrence with the Ponseti method. The present study seeks to uncover the socioeconomic variables which may contribute to brace adherence. Methods: This survey study included 219 p
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Jespers, Eric, and Arne Van Antwerpen. "Left semi-braces and solutions of the Yang–Baxter equation." Forum Mathematicum 31, no. 1 (2019): 241–63. http://dx.doi.org/10.1515/forum-2018-0059.

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Abstract Let {r\colon X^{2}\rightarrow X^{2}} be a set-theoretic solution of the Yang–Baxter equation on a finite set X. It was proven by Gateva-Ivanova and Van den Bergh that if r is non-degenerate and involutive, then the algebra {K\langle x\in X\mid xy=uv\text{ if }r(x,y)=(u,v)\rangle} shares many properties with commutative polynomial algebras in finitely many variables; in particular, this algebra is Noetherian, satisfies a polynomial identity and has Gelfand–Kirillov dimension a positive integer. Lebed and Vendramin recently extended this result to arbitrary non-degenerate bijective solu
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Nasybullov, Timur. "Connections between properties of the additive and the multiplicative groups of a two-sided skew brace." Journal of Algebra 540 (December 2019): 156–67. http://dx.doi.org/10.1016/j.jalgebra.2019.05.005.

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Dissertations / Theses on the topic "Skew brace"

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CAMPEDEL, ELENA. "Hopf-Galois Structures and Skew Braces of order p^2q." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2022. http://hdl.handle.net/10281/378739.

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Nella mia tesi enumero le strutture Hopf-Galois su estensioni di Galois di ordine p^2q. Questo sarà fatto, mediante l'uso delle funzioni gamma, contando i sottogruppi regolari dell'olomorfo di gruppi di ordine p^2q. Questi ultimi oggetti sono anche connessi con le skew braces, e fornisco anche il numero di classi di isomorfismo di skew braces di ordine p^2q.<br>In my thesis I enumerate the Hopf-Galois structures on Galois extensions of order p^2q. This will be done, using the gamma functions, by enumerating the regular subgroups of the holomorph of groups G of order p^2q. The last objects are
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Nejabati, Zenouz Kayvan. "On Hopf-Galois structures and skew braces of order p³." Thesis, University of Exeter, 2018. http://hdl.handle.net/10871/32248.

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The concept of Hopf-Galois extensions was introduced by S. Chase and M. Sweedler in 1969 and provides a generalisation of classical Galois theory. Later, Hopf-Galois theory for separable extensions of fields was studied by C. Greither and B. Pareigis. They showed how to recast the problem of classifying all Hopf-Galois structures on a finite separable extension of fields as a problem in group theory. Many major advances relating to the classification of Hopf-Galois structures were made by N. Byott, S. Carnahan, L. Childs, and T. Kohl. On the other hand, and seemingly unrelated to Hopf-Galois t
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Bachiller, Pérez David. "Study of the algebraic structure of left braces and the yang-baxter equation." Doctoral thesis, Universitat Autònoma de Barcelona, 2016. http://hdl.handle.net/10803/385215.

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Aquesta tesi doctoral tracta de l’estructura algebraica anomenada braça no commutativa per l’esquerra, i de les seves aplicacions a les solucions conjuntistes no degenerades de l’equació de Yang-Baxter. Concretament, estudiem els següents problemes: (1) Construïm totes les solucions conjuntistes no-degenerades associades a una braça per l’esquerra no commutativa donada. A més, demostrem que totes les solucions no-degenerades involutives es poden construir a partir de braces per l’esquerra amb una construcció similar. Aquests resultats estan continguts als Capítols 2 i 3. Això redueix el probl
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Book chapters on the topic "Skew brace"

1

Vendramin, Leandro. "Skew Braces: A Brief Survey." In Trends in Mathematics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-62407-0_12.

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Rybołowicz, Bernard. "Skew Braces and the Braid Equation on Sets." In Trends in Mathematics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-62407-0_11.

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"Hopf-Galois structures on Galois extensions of fields, regular subgroups, and skew braces." In Mathematical Surveys and Monographs. American Mathematical Society, 2021. http://dx.doi.org/10.1090/surv/260/02.

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Bennett, Peggy D. "Facing fear." In Teaching with Vitality. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190673987.003.0020.

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Do you know what you fear? Some folks know the answer right away. Others need to think about it for a while. Fears have a wide range of characteristics. Some fears may serve, others may hamper. What do you do about your fears? How do they affect you? Many of us had a general fear when we began teaching. We may not have been able to identify what or who we were afraid of, but we were afraid. For teachers, fears of embarrassing one­self, of showing others how ill- informed and unprepared we are, and of being unable to “handle” students’ behaviors are com­mon. The very real fear about safety in s
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Conference papers on the topic "Skew brace"

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Atteya, Mehsin Jabel. "New Structure of Skew Braces and Their Ideals." In IOCMA 2023. MDPI, 2023. http://dx.doi.org/10.3390/iocma2023-14601.

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Suzuki, Masakuni, Takeshi Ishida, and Shingo Kono. "Vibration Reduction Applying Skew Phenomena of Needle Roller Bearings in Brake Actuators." In SAE 2006 World Congress & Exhibition. SAE International, 2006. http://dx.doi.org/10.4271/2006-01-0881.

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Pewekar, Mihir Mangesh, Pranit Pravin Sandye, and Kiran Chaudhari. "Investigation of Non-Pneumatic Tires Based on Helical Hexagonal Cellular Structure." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87631.

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Non-pneumatic tires (NPTs) have drawn attention mainly due to low contact pressure and low rolling resistance due to use of hyper-elastic materials in their construction. In this paper, an attempt to innovate the conventional design of NPT with hexagonal honeycomb cellular structure is made by creating the boundary planar geometries of the tire, skew to each other at a certain angle. Adding to the functionality as a tire, this modified structure increases the performance of automobile components by rejection of heat through convection (forced) at the expense of engine power. The primary invest
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Savander, Brant R., Malcolm E. Willis, Karl A. Stambaugh, and Kelley A. Cox. "USCG Patrol Craft Hydrodynamic Fuel Efficiency Improvements." In SNAME 13th International Conference on Fast Sea Transportation. SNAME, 2015. http://dx.doi.org/10.5957/fast-2015-035.

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A computational analysis program, conducted at full scale, has been completed on the USCG Fast Response Cutter (FRC) to evaluate how appendage and propeller redesign affects calm water powering performance and erosive cavitation onset. Aft working forward, the geometric variations considered included: addition of a stern flap, wake adapted rudder redesign, propeller design refinement, wake adapted skeg redesign, and redesign of the spray rail system. The first activity was to use a wake alignment procedure to redesign the current rudder in an effort to improve the rudder drag characteristics a
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