| 可测函数集的代数结构 |
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| 引用本文： | 赵显贵. 可测函数集的代数结构[J]. 韶关学院学报, 2006, 27(9): 12-14 |
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| 作者姓名： | 赵显贵 |
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| 作者单位： | 华南师范大学,数学科学学院,广东,广州,510631 |
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| 摘 要： | 用群和环的理论研究了可测集E∈Rn上可测函数集的代数结构,用陪集的理论给出了M的几种分类,研究了在每种分类下各个类的特征.
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| 关 键 词： | 可测函数集 正规子群 理想 |
| 文章编号： | 1007-5348(2006)09-0012-03 |
| 收稿时间： | 2006-01-10 |
| 修稿时间： | 2006-01-10 |
The algebraic structure of the set of measurable functions |
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| ZHAO Xian-gui. The algebraic structure of the set of measurable functions[J]. Journal of Shaoguan University(Social Science Edition), 2006, 27(9): 12-14 |
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| Authors: | ZHAO Xian-gui |
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| Affiliation: | School of Mathematical Sciences, South China Normal University, Guangzhou 510631, Guangdong, China |
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| Abstract: | This paper discusses the algebraic structure of M,the set of measurable functions on some measurable set ER~n,by the use of group theory and ring theory.Then some different partitions of M are given and characters of the equivalence classes of M are discussed. |
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| Keywords: | measurable function normal subgroup ideal |
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