| 分次环的有限正规扩张 |
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| 引用本文： | 王尧,任艳丽.分次环的有限正规扩张[J].数学杂志,2008,28(2):150-156. |
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| 作者姓名： | 王尧 任艳丽 |
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| 作者单位： | [1]南京晓庄学院数学系,江苏南京211171 [2]南开大学数学科学学院,天津300071 |
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| 基金项目： | 国家自然科学基金资助项目（10471055） |
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| 摘 要： | 本文研究了群分次环的有限正规分次扩张问题．利用经典环论方法，得到一个群分次环与其有限正规分次扩张环之间关于分次Jacobson根和分次素根的关系，同时，给出了分次情形的Cutting down定理和Lying over定理．
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| 关 键 词： | 有限正规分次扩张 分次Jacobson根 分次素根 Cuffing down定理 Lying over定理． |
| 文章编号： | 0255-7797（2008）02-0150-07 |
| 收稿时间： | 2005-06-07 |
| 修稿时间： | 2006-04-19 |
FINITE NORMALIZED EXTENSIONS OF GRADED RINGS |
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| WANG Yao , REN Yan-li.FINITE NORMALIZED EXTENSIONS OF GRADED RINGS[J].Journal of Mathematics,2008,28(2):150-156. |
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| Authors: | WANG Yao REN Yan-li |
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| Abstract: | In this Paper we investigate the problems of finite normalized graded extension of group graded rings. Making use of the classical methods in ring theory, we obtain the relations with regard to graded Jacobson radical and graded prime radical between a group graded ring and its finite normalized graded extension ring. Meanwhile, we present the graded versions of Cutting down theorem and Lying over theorem. |
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| Keywords: | Finite normalized graded extension graded Jacobson radical graded prime radical Cutting down theorem Lying over theorem |
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