| 徐忠明.关于Г-半环[J].数学研究及应用,1981,1(1):11~24 |
| 关于Г-半环 |
| On the Г-hemiring |
| 投稿时间：1980-12-20 |
| DOI：10.3770/j.issn:1000-341X.1981.01.002 |
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| 英文摘要: |
| 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. |
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