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Linear Preservers of Regularity and Extreme Sets of Matrix Inequalities over Boolean Algebras

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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
Type
Dissertation
Appears in Collections:
General Graduate School > Mathematics
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