杨-巴克斯特方程的可溶性斜左括号和可溶性解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-12 DOI:10.1016/j.aim.2024.109880

A. Ballester-Bolinches , R. Esteban-Romero , P. Jiménez-Seral , V. Pérez-Calabuig

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引用次数: 0

摘要

要研究杨-巴克斯特方程的非退化集合理论解，就必须深入理解左斜撑的代数结构。本文介绍并研究了左斜撑的可溶性理论性质。它自然引出了杨-巴克斯特方程解的可溶性概念。结果发现，可溶的非退化集合论解的特征是可溶的斜左撑。此外，还展示了可溶左斜括号的丰富理想结构。此外，还给出了一个工作示例，展示了可溶性括号理论性质的相关性。

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Soluble skew left braces and soluble solutions of the Yang-Baxter equation

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 leads naturally to the notion of solubility of solutions of the Yang-Baxter equation. It turns out that soluble non-degenerate set-theoretic solutions are characterised by soluble skew left braces. The rich ideal structure of soluble skew left braces is also shown. A worked example showing the relevance of the brace theoretical property of solubility is also presented.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.