封面
中文摘要
英文摘要
目录
Chapter 1 Introduction
1.1 On Regularity of Rings and Modules
1.2 Literature Review on Regularity and Recent Generalizations
1.3 A Brief Description and Objectives of the Research
1.4 Preliminaries
Chapter 2 G F-Regular Modules
2.1 Introduction
2.2 The Notion of G F-Regular Modules and General Results
2.3 G F-Regular Modules and G-Pure Submodules
2.4 G F-Regular Modules and Localization
2.5 The Jacobson Radical of G F-Regular Modules
2.6 The Unique Maximal G F-Regular Submodule of a Module
2.7 Summary
Chapter 3 GZ-Regular Modules
3.1 Introduction
3.2 GZ-Regular Modules
3.3 GZ-Regular Modules and Projectivity
3.4 GZ-Regular Modules and G-Pure Submodules
3.5 GZ-Regular Modules and The Jacobson Radical
3.6 GZ-Regular Modules and Torsionfree Modules
3.7 Summary
Chapter 4 A New Characterization ofπ-Regular Rings
4.1 Introduction
4.2 P-Semiregular Rings
4.3 Endomorphism Rings of P-Semiregular Ideals
4.4 Summery
Chapter 5 Skew Polynomial Rings Related to
5.1 Introduction
5.2 α-Skewπ-McCoy Rings
5.3 Two Generalizations ofα-Skew McCoy rings
5.4 Summary
结论
Conclusion
参考文献
List of Publications
声明
致谢
Resume
