| 环的挖补定理的推广 |
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| 引用本文： | 彭少玉,;程学汉,;杜国祥.环的挖补定理的推广[J].烟台师范学院学报(自然科学版),2008(1). |
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| 作者姓名： | 彭少玉 ;程学汉 ;杜国祥 |
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| 作者单位： | [1]鲁东大学数学与信息学院; [2]鲁东大学数学与信息学院,山东烟台264025; [3]山东烟台264025,山东烟台264025; |
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| 基金项目： | 鲁东大学教改立项(Y0710) |
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| 摘 要： | 将环的挖补定理推广到欧几里得空间,并以推论的形式给出了线性空间的挖补定理;将环的挖补定理推广到非代数系统——拓扑空间,得到了拓扑空间的挖补定理.
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| 关 键 词： | 环 代数系统 欧氏空间 拓扑空间 |
Generalization of the Ring s Theorem of Taking Out and Patching |
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| Institution: | PENG Shao-yu; CHENG Xue-han; DU Guo-xiang(School of Mathematics and Information; Ludong University; Yantai 264025; China); |
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| Abstract: | As the theorem of taking out and patching in ring is generalied to the Euclidean space,the theorem in linear space is deduced.Furthermore,the theorey is generalized to a nonalgebraic system that is topological space,and then the theorem of taking out and patching in topological space is obtained. |
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| Keywords: | ring algebraic system Euclidean space topological space |
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