昆德的产品

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2025-01-23 DOI:10.1007/s10469-025-09773-6

V. G. Bardakov, D. A. Fedoseev

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引用次数: 0

摘要

推广了A. Ishii et al. in[11]的论文中引入的光团的Q-族和g族的构造。j .数学。[j], 57, No. 3, 817-838(2013)]，并确定它们与quandles的其他构造的关系。给出了在同一集合上定义的纠缠结构的组合，并找到了这种组合产生纠缠的条件。证明了在这种乘法下，我们得到了一个阿贝尔群。还研究了褐煤的直接产物。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Products of Quandles

We generalize the constructions of Q- and G-families of quandles introduced in the paper of A. Ishii et al. in [Ill. J. Math., 57, No. 3, 817-838 (2013)], and establish how they are related to other constructions of quandles. A composition of structures of quandles defined on the same set is specified, and conditions are found under which this composition yields a quandle. It is proved that under such a multiplication we obtain a group that will be Abelian. Also a direct product of quandles is examined.

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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.