Introductory Ring Theory
Seiten
2025
Cambridge University Press (Verlag)
978-1-009-63353-6 (ISBN)
Cambridge University Press (Verlag)
978-1-009-63353-6 (ISBN)
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This book is ideal for undergraduate students seeking a clear and accessible introduction to ring theory. With concise explanations, real-world applications, and curriculum-aligned content, it simplifies complex concepts, making learning easier and more engaging.
This book provides a clear and accessible introduction to ring theory for undergraduate students. Aligned with standard curricula, it simplifies abstract concepts through structured explanations, practical examples, and real-world applications. Ideal for both students and instructors, it serves as a valuable resource for mastering fundamental concepts in ring theory with ease. The text begins with an introduction to rings and goes on to cover subrings, integral domains, ideals, and factor rings. It also discusses ring homomorphisms and polynomial rings. The book concludes with topics such as polynomial factorization and divisibility in integral domains. Each chapter is supplemented with solved examples to foster a deeper understanding of the subject. A set of practice questions is also provided to sharpen problem-solving skills.
This book provides a clear and accessible introduction to ring theory for undergraduate students. Aligned with standard curricula, it simplifies abstract concepts through structured explanations, practical examples, and real-world applications. Ideal for both students and instructors, it serves as a valuable resource for mastering fundamental concepts in ring theory with ease. The text begins with an introduction to rings and goes on to cover subrings, integral domains, ideals, and factor rings. It also discusses ring homomorphisms and polynomial rings. The book concludes with topics such as polynomial factorization and divisibility in integral domains. Each chapter is supplemented with solved examples to foster a deeper understanding of the subject. A set of practice questions is also provided to sharpen problem-solving skills.
Ritika Chopra is currently working as Assistant Professor, Department of Mathematics, Shaheed Rajguru College of Applied Sciences for Women, University of Delhi. Ankit Gupta is currently working as Assistant Professor, Department of Mathematics, Bharati College, University of Delhi.
Preface; Preliminaries; Chapter 1. Introduction to Rings; Chapter 2. Subrings; Chapter 3. Integral Domains; Chapter 4. Ideals; Chapter 5. Ring Homomorphisms; Chapter 6. Polynomial Rings; Chapter 7. Factorization of Polynomials Chapter 8. Divisibility in Integral Domains; Index.
| Erscheinungsdatum | 04.11.2025 |
|---|---|
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Gewicht | 250 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 1-009-63353-8 / 1009633538 |
| ISBN-13 | 978-1-009-63353-6 / 9781009633536 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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