International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 4, Pages 807-811
doi:10.1155/S0161171294001122
J-rings of characteristic two that are boolean
1Department of Mathematics, North Carolina State University, Raleigh 27695-8205, North Carolina, USA
2East China Institute of Technology, Nanjing, China
Received 27 July 1993
Copyright © 1994 D. J. Hansen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper is concerned with determining all integers n, with n≥2, such that if R is a ring having the property that xn=x and 2x=0 for each x∈R, then R is boolean. The solution to the above problem extends previous results obtained by Shiue and Chao in [5] and that of MacHale in [4].