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Generalized nilpotent braces and nilpotent groups | ||
International Journal of Group Theory | ||
دوره 14، شماره 1، خرداد 2025، صفحه 25-45 اصل مقاله (476.96 K) | ||
نوع مقاله: Ischia Group Theory 2022 | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2023.138490.1860 | ||
نویسندگان | ||
Martyn Dixon* 1؛ Leonid A. Kurdachenko2؛ Igor Ya. Subbotin3 | ||
1Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U. S. A. | ||
2Department of Algebra, Facultet of mathematic and mechanik, National University of Dnepropetrovsk, Gagarin prospect 72, Dnipro 10 49010, Ukraine | ||
3Department of Mathematics and Natural Sciences, National University,5245 Pacific Concourse Drive, Los Angeles, CA 90045-6904, U. S. A. | ||
چکیده | ||
The authors give a brief survey of some results concerning nilpotent braces and their generalizations. Various results concerning $\star$-hypercentral and locally $\star$-nilpotent braces are given. | ||
کلیدواژهها | ||
Brace؛ nilpotent brace؛ $\star$-hypercentral brace؛ locally $\star$-nilpotent brace | ||
مراجع | ||
[1] D. Bachiller, Classification of braces of order p3 , J. Pure Appl. Algebra, 219 (2015) no. 8 3568–3603. [10] W. Rump, A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation, Adv. Math., 193 (2005) no. 1 40–55. | ||
آمار تعداد مشاهده مقاله: 65 تعداد دریافت فایل اصل مقاله: 94 |