Group Rings and Their Augmentation Ideals
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"Group Rings and Their Augmentation Ideals" by Inder Bir S. Passi is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Chapter one deals with the study of polynomial ideals. The main result proved in chapter two is that for the study of (Lie) dimension subgroups over arbitrary coefficient rings it is enough to restrict to integral and modular coefficients. Chapter three is an exposition of a portion of a fundamental paper of Hartley. Chapter four demonstrates the calculations of dimension subgroups over fields. Chapter five studies polynomials maps on groups and show the calculations of integral dimension subgroups in certain case. Chapters six and seven are devoted to the study of the intersection of powers of an augmentation ideal.
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"Group Rings and Their Augmentation Ideals" by Inder Bir S. Passi is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Core Mathematics
Author: Inder Bir S. Passi
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
Chapter one deals with the study of polynomial ideals. The main result proved in chapter two is that for the study of (Lie) dimension subgroups over arbitrary coefficient rings it is enough to restrict to integral and modular coefficients. Chapter three is an exposition of a portion of a fundamental paper of Hartley. Chapter four demonstrates the calculations of dimension subgroups over fields. Chapter five studies polynomials maps on groups and show the calculations of integral dimension subgroups in certain case. Chapters six and seven are devoted to the study of the intersection of powers of an augmentation ideal.
| Author | Inder Bir S. Passi |
| Publisher | Springer |
| Published | 1979 |
| ISBN-13 | 9783540092544 |
| Binding | Paperback |
| Pages | 152 |
| Language | English |
| Subjects | Mathematics |
| Topic | Core Mathematics |
| Series | Lecture Notes in Mathematics |
Format: Paperback
Length: 152 pages
Language: English
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