| 董学东.关于半准素环[J].数学研究及应用,1994,14(3):341~344 |
| 关于半准素环 |
| On Half-Primary Rings |
| 投稿时间：1992-06-20 |
| DOI：10.3770/j.issn:1000-341X.1994.03.005 |
| 中文关键词: |
| 英文关键词:haif-primary ring pseudo-valuation domain commutative ring. |
| 基金项目: |
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| 中文摘要: |
| 交换环Ｒ称为（受限制的）半准素环，如果对Ｒ的每个（非零）主理想Ａ，都有A1/2是Ｒ的素理想，本文刻画了受限制的半准素环，给出了有单位元的Ｎｏｅｔｈｅｒ受限制的半准素环的分类以及半准素整环是伪赋值整环的一个条件 |
| 英文摘要: |
| A commutative ring R is called a (restricted) half- primary ring if for each(non-zero) principal ideal A of R, A1/2 is a prime ideal. In this paper we characterize therestricted half-primary rings, and give a complete classification of Noetherian restrictedhaif-primary rings with identity and a condition that a half-primary domain is a pseudo-valuation domain . |
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