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关于Г-半环
引用本文:徐忠明.关于Г-半环[J].数学研究及应用,1981,1(1):11-24.
作者姓名:徐忠明
作者单位:杭州大学
摘    要:Just as Nobusawa has extended the concept of ring to the concept of Γ-ring. we introduce in this paper a new concept of Γ-hemiring based on the concept of abelian additive hemigroup. And then, we extend the foundamental results associated with hemiring which are developed by Bourne and Zassenhaus to some analogous results associated with Γ-hemiring, such as the notions of ideal, zeroid, homomorphism and Jacobsonian radical and semi-radical in the case of Γ-hemiring. Finally, we have given some conditions for a Γ-hemiring being a Γ-ring.

收稿时间:1980/12/20 0:00:00
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