University of Isfahan International Journal of Group Theory 2251-7650 14 1 2023 11 15 Generalized nilpotent braces and nilpotent groups 25 45 27989 10.22108/ijgt.2023.138490.1860 EN Martyn Dixon Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U. S. A. Leonid A. Kurdachenko Department of Algebra, Facultet of mathematic and mechanik, National University of Dnepropetrovsk, Gagarin prospect 72, Dnipro 10 49010, Ukraine Igor Ya. Subbotin Department of Mathematics and Natural Sciences, National University,5245 Pacific Concourse Drive, Los Angeles, CA 90045-6904, U. S. A. Journal Article 2023 07 22 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. Brace nilpotent brace $\star$-hypercentral brace locally $\star$-nilpotent brace https://ijgt.ui.ac.ir/article_27989_90dc8050cccdc4c34ef9d501ea66ed8a.pdf