Geometric aspects of non-commutative algebraic geometry in positive characteristic – Complete Phd and Masters Thesis

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Table of Contents
Chapter 1: Introduction
1.1 Background of the Study
1.2 Problem Statement
1.3 Research Questions
1.4 Significance of the Study
1.5 Definition of Terms
1.6 Organization of the Thesis

Chapter 2: Literature Review
2.1 Overview of Non-Commutative Algebraic Geometry
2.2 Geometric Aspects in Positive Characteristic
2.3 Previous Studies on the Topic
2.4 Gaps in the Literature

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Ethical Considerations

Chapter 4: Discussion of Findings
4.1 Analysis of Results
4.2 Comparison with Existing Literature
4.3 Implications of Findings
4.4 Recommendations for Future Research

Chapter 5: Conclusion and Summary
5.1 Summary of Key Findings
5.2 Conclusions Drawn from the Study
5.3 Contributions to the Field
5.4 Limitations of the Study
5.5 Suggestions for Further Research

Brief Overview
The thesis on “Geometric Aspects of Non-Commutative Algebraic Geometry in Positive Characteristic” explores the intersection of algebraic geometry and non-commutative geometry in the context of positive characteristic fields. The study aims to analyze the geometric properties of non-commutative algebraic structures in characteristic p, where p is a prime number. The research methodology involves a comprehensive review of existing literature on the topic, followed by data collection and analysis using advanced mathematical techniques. The findings of the study are discussed in detail, highlighting the implications for future research in the field. The thesis concludes with a summary of key findings, contributions to the field, limitations of the study, and recommendations for further research.

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