Commutative Algebra through Exercises
This book provides a first introduction to the fundamental concepts of commutative algebra. What sets it apart from other textbooks is the extensive collection of 400 solved exercises, providing readers with the opportunity to apply theoretical knowledge to practical problem solving, fostering a dee...
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| Hauptverfasser: | , , |
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| Körperschaft: | |
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham :
Springer International Publishing : Imprint: Springer,
2024.
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| Ausgabe: | 1st ed. 2024. |
| Schriftenreihe: | La Matematica per il 3+2,
159 |
| Schlagworte: | |
| Online-Zugang: | https://doi.org/10.1007/978-3-031-56910-4 |
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Inhaltsangabe:
- Part I Theory
- 1 Rings
- 2 The Ring K[x1, . . . , xn]
- 3 Affine Algebraic Varieties
- 4 Modules
- 5 Tensor Product
- 6 Localization
- 7 Noetherian and Artinian Rings. Primary Decomposition
- Part II Exercises
- 8 Rings and Ideals
- 9 Polynomials, Gröbner Bases, Resultant, and Varieties
- 10 Modules
- 11 Tensor Product
- 12 Localization
- 13 Noetherian and Artinian Modules
- 14 True or False?
- 15 Review Exercises
- Part III Proofs and Solutions
- 16 Proofs of Theoretical Results
- 17 Solutions to the Exercises.