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拟环的Jacobson根
引用本文:王俊民. 拟环的Jacobson根[J]. 云南大学学报(自然科学版), 1988, 0(3)
作者姓名:王俊民
作者单位:云南大学数学系
摘    要:Betsch[1]将结合环的Jacobson根引入到拟环N上,得到三种类型的Jacobson根,分别记为(?)_o(N),(?)_1(N),(?)_2(N).Holcombe[2]引入另一种类型的Jacobson根,记为(?)_8(N).本文给出一种介于(?)_2(N)与(?)_3(N)之间的Jacobson根,并证明其一系列的性质。

关 键 词:拟环  Jacobson根

JACOBSON RADICAL OF NEAR RINGS
Wang Junmin. JACOBSON RADICAL OF NEAR RINGS[J]. Journal of Yunnan University(Natural Sciences), 1988, 0(3)
Authors:Wang Junmin
Abstract:In [1], G. Betsch has introduced three types of Jacobson radical of near ring N : J0(N), J1(N), J2(N). M. Holcombe has introduced another Jacobson radical J3 (N) of near ring N, in [2] . It has been introduced in this note a Jacobson radical J(N) of near ring N, which lies between J2 (N) and J3 (N). And several properties of J(N) have been proved.
Keywords:near ring   jacobson radical
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