Linear Preservers of Regularity and Extreme Sets of Matrix Inequalities over Boolean Algebras
- Abstract
- .
- Issued Date
- 2011
- Type
- Dissertation
- Alternative Author(s)
- Kang, Mun Hwan
- Affiliation
- 제주대학교
- Department
- 대학원 수학과
- Advisor
- 송석준
- Table Of Contents
- Abstract(English)
1. Introduction 1
2. Regularity preservers of matrices over binary Boolean algebra 3
2.1. Properties of regularity and singularity of Boolean matrices 3
2.2. Linear operators that preserve Boolean regular matrices 13
3. Extreme sets of matrix pairs over general Boolean algebra and their preservers 21
3.1. Preliminaries and Basic results 21
3.2. Linear preservers of 29
3.3. Linear preservers of 33
3.4. Linear preservers of 36
3.5. Linear preservers of 38
3.6. Linear preservers of 39
3.7. Linear preservers of 42
3.8. Linear preservers of 44
3.9. Linear preservers of 46
References 49
Abstract(Korean)
Acknowledgements(Korean)
- Degree
- Doctor
- Publisher
- 제주대학교 대학원
- Citation
- 강문환. (2011). Linear Preservers of Regularity and Extreme Sets of Matrix Inequalities over Boolean Algebras
- Appears in Collections:
- General Graduate School > Mathematics
- Files in This Item:
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