International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 3, Pages 463-466
doi:10.1155/S016117128900058X

A note on rings with certain variable identities

Hazar Abu-Khuzam

Department of Mathematical Sciences, King Fahd University of Petroleum \& Minerals, Dhahran, Saudi Arabia

Abstract

It is proved that certain rings satisfying generalized-commutator constraints of the form [xm,yn,yn,...,yn]=0 with m and n depending on x and y, must have nil commutator ideal.