Isoclinism of skew braces

التفاصيل البيبلوغرافية
العنوان: Isoclinism of skew braces
المؤلفون: Letourmy, Thomas, Vendramin, Leandro
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, Mathematics - Quantum Algebra, Mathematics - Rings and Algebras, 16T25, 17D99
الوصف: We define isoclinism of skew braces and present several applications. We study some properties of skew braces that are invariant under isoclinism. For example, we prove that right nilpotency is an isoclinism invariant. This result has application in the theory of set-theoretic solutions to the Yang-Baxter equation. We define isoclinic solutions and study multipermutation solutions under isoclinism.
Comment: 14 pages. Postprint version
نوع الوثيقة: Working Paper
DOI: 10.1112/blms.12900
URL الوصول: http://arxiv.org/abs/2211.14414
رقم الأكسشن: edsarx.2211.14414
قاعدة البيانات: arXiv