From Rings and Modules to Hopf Algebras One Flew Over the Algebraist's Nest /
This textbook provides an introduction to fundamental concepts of algebra at upper undergraduate to graduate level, covering the theory of rings, fields and modules, as well as the representation theory of finite groups. Throughout the book, the exposition relies on universal constructions, making s...
Furkejuvvon:
| Váldodahkki: | |
|---|---|
| Searvvušdahkki: | |
| Materiálatiipa: | Elektrovnnalaš E-girji |
| Giella: | eaŋgalasgiella |
| Almmustuhtton: |
Cham :
Springer International Publishing : Imprint: Springer,
2024.
|
| Preanttus: | 1st ed. 2024. |
| Fáttát: | |
| Liŋkkat: | https://doi.org/10.1007/978-3-031-50062-6 |
| Fáddágilkorat: |
Lasit fáddágilkoriid
Eai fáddágilkorat, Lasit vuosttaš fáddágilkora!
|
Sisdoallologahallan:
- 1 Prerequisites and Preliminaries
- Part I Rings and Modules
- 2 Rings, Polynomials, Divisibility
- 3 Polynomial Rings in Several Indeterminates
- 4 More on Modules
- 5 On Representations of Finite Groups
- Part II Integral Domains, Polynomials, Fields
- 6 Prime and Maximal Ideals, Integral Domains
- 7 Fields, Division Rings
- Part III Finitely Generated Modules
- 8 Integrality, Noetherianity
- 9 Finitely Generated Projective Modules
- 10 Finitely Generated Modules Over Dedekind Domains
- 11 Complement on Dedekind Domains
- Part IV Characteristic Zero Linear Representations of Finite Groups
- 12 Monoidal Categories: An Introduction
- 13 Characteristic 0 Representations
- 14 Playing With the Base Field
- 15 Induction and Restriction: Some Applications to Finite Groups
- 16 Brauer’s Theorem and Some Applications
- 17 Graded Representations and Characters
- 18 The Drinfeld–Lusztig Double of a Group Algebra.