SF-环理想上模的一般可比较性及其应用 The general comparability of modules and its applications on the ideals of SF-rings期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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SF-环理想上模的一般可比较性及其应用

引用本文：	李艳午,程海霞,殷晓斌.SF-环理想上模的一般可比较性及其应用[J].浙江大学学报(理学版),2013,40(4):371-374.

作者姓名：	李艳午程海霞殷晓斌

作者单位：	1. 芜湖职业技术学院,安徽芜湖,241003 2. 南京大学数学系,江苏南京210093;安徽师范大学数学与计算机科学学院,安徽芜湖241000 3. 安徽师范大学数学与计算机科学学院,安徽芜湖,241000

基金项目：	国家自然科学基金资助项目，安徽省2013年省级自然科学研究项目，安徽省教育厅重点项目

摘要：	研究了SF-环理想上模的一般可比较性,得到了SF环理想上模的一般可比较性的刻画；利用这种可比较性,探索了SF环理想上矩阵的可对角化问题,得到了相关矩阵可对角化的一系列条件.
关键词：	style="font-family: 宋体 font-size: 10.5pt mso-bidi-font-family: 宋体 mso-ansi-language: EN-US mso-fareast-language: ZH-CN mso-bidi-language: AR-SA" SFlang="EN-US">SF style="font-family: 宋体 font-size: 10.5pt mso-bidi-font-family: 宋体 mso-ansi-language: EN-US mso-fareast-language: ZH-CN mso-bidi-language: -环AR-SA">-环 " target="_blank">lang="EN-US"> 正则环 " target="_blank">lang="EN-US"> 一般可比较性 " target="_blank">lang="EN-US"> 对角化
收稿时间：	2012-06-15
The general comparability of modules and its applications on the ideals of SF-rings

LI Yan-wu , CHENG Hai-xia , YIN Xiao-bin.The general comparability of modules and its applications on the ideals of SF-rings[J].Journal of Zhejiang University(Sciences Edition),2013,40(4):371-374.

Authors:	LI Yan-wu CHENG Hai-xia YIN Xiao-bin

Institution:	1. Wuhu Vocational College of Technology, Wuhu 241003, An- hui Province, China; 2. Department of Mathematics, Nanjing University, Nanjing 210093, China; 3. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui Province, China)

Abstract:	The general comparability and its characterization of modules on the ideals of SF-rings were studied. Addi- tionally, the problem of matrix diagonalization on comparable ideals was studied and the conditions of correlation matrix which can were diagonalized be obtained, which take advantage of the comparability of ideals on SF-rings.

Keywords:	SF-rings regular ring general comparability diagonalization
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