摘要
设N是有单位元的约化近环,我们证明两个主要结果:(1)在N中下述三个条件等价:(i)1是N的超原子;(ii)N是近域;(iii)N的每个非零元都是超原子.(2)若N是超原子的,则N同构于近域的一个次直积.
Let N be a reduced near-ring with identity. We prove two main results that(1) In N, the following conditions are equivalent; (i) 1 is a hyper-atorm; (ii) N is a near-field; (iii) every nonzero element in N is a hyper-atorm. (2) If N is hyper-atomic, then N is isomorphic to a subdirect product of near-fields.
出处
《湖北师范学院学报（哲学社会科学版）》
1994年第3期32-34,共3页
Journal of Hubei Normal University（Philosophy and Social Science）
关键词
约化近环
近域
超原子
超原子近环
次直积
Reduced near-ring, Near-field, hyper-atom, Hyper-atomic near-ring, Subdirect product.
