当前位置:
X-MOL 学术
›
J. Comb. Theory A
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
Divisor graphs and isotopy invariants of commutative quasigroups
Journal of Combinatorial Theory Series A ( IF 0.9 ) Pub Date : 2021-12-13 , DOI: 10.1016/j.jcta.2021.105577 John D. LaGrange
中文翻译:
可交换拟群的除数图和同位素不变量
更新日期:2021-12-14
Journal of Combinatorial Theory Series A ( IF 0.9 ) Pub Date : 2021-12-13 , DOI: 10.1016/j.jcta.2021.105577 John D. LaGrange
Given an element x of a commutative quasigroup , the x-divisor graph of is the graph whose vertices are the elements of such that distinct vertices a and b are adjacent if and only if . This paper examines how isotopies act on the set | . It is shown that if is not a multiple of 4, then this set is an isotopy invariant. Moreover, under certain conditions (for example, when is isotopic to a group), the commutative quasigroup isotopes of are completely determined by symmetries of | .
中文翻译:
可交换拟群的除数图和同位素不变量
给定可交换拟群的元素x, x -除数图 是图 其顶点是 使得不同的顶点a和b相邻当且仅当. 本文研究了同位素如何作用于集合 | . 结果表明,如果不是 4 的倍数,则该集合是同位素不变量。此外,在某些条件下(例如,当 是一个群的同位素), 的交换准群同位素 完全由对称性决定 | .