Generalized nilpotent braces and nilpotent groups

نویسندگان
Dixon, Martyn ID 1
Kurdachenko, Leonid A. ID 2
Subbotin, Igor Ya. ID 3

1 Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U. S. A.

2 Department of Algebra, Facultet of mathematic and mechanik, National University of Dnepropetrovsk, Gagarin prospect 72, Dnipro 10 49010, Ukraine

3 Department of Mathematics and Natural Sciences, National University,5245 Pacific Concourse Drive, Los Angeles, CA 90045-6904, U. S. A.

doi
10.22108/ijgt.2023.138490.1860
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