J-rings of characteristic two that are boolean

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].

Keywords

• J-ring
• boolean ring.