Results 1 to 10 of about 40 (36)
J‐rings of characteristic two that are boolean
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 807-811, 1994., 1994 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].
D. J. Hansen, Jiang Luh, Youpei Ye
wiley +1 more source
Rings and groups with commuting powers
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 1, Page 101-107, 1981., 1981 Let n be a fixed positive integer. Let R be a ring with identity which satisfies (i) xnyn = ynxn for all x, y in R, and (ii) for x, y in R, there exists a positive integer k = k(x, y) depending on x and y such that xkyk = ykxkand (n, k) = 1. Then R is commutative. This result also holds for a group G.
Hazar Abu-Khuzam, Adil Yaqub
wiley +1 more source
differential identities of prime rings with involution
, 1989 C. Chuang
semanticscholar +1 more source