کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4583937 | 1630463 | 2016 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The interplay between k-graphs and the Yang–Baxter equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we initiate the study of the interplay between k-graphs and the Yang–Baxter equation. For this, we provide two very different perspectives. On one hand, we show that the set of all set-theoretic solutions of the Yang–Baxter equation is a special class of single-vertex k-graphs. As a consequence, we construct an infinite family of large solutions of the Yang–Baxter equation from an arbitrarily given one. On the other hand, we prove that all single-vertex k-graphs are YB-semigroups of square-free, involutive solutions of the Yang–Baxter equation. Other various connections are also investigated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 451, 1 April 2016, Pages 494–525
Journal: Journal of Algebra - Volume 451, 1 April 2016, Pages 494–525
نویسندگان
Dilian Yang,