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
D.J. Hansen1
, Jiang Luh1
and Youpei Ye3
1Department of Mathematics, North Carolina State University, Raleigh 27695-8205, North Carolina, USA
3East China Institute of Technology, Nanjing, China
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].