A course in commutative algebra/ Gregor Kemper.

By: Gregor, KemperMaterial type: TextTextSeries: Graduate texts in mathematics, 256Publication details: New York: Springer, 2011Description: xi, 246 p. ; 25 cmISBN: 9783642035456Subject(s): Commutative algebra | Computer science--Mathematics | Algebra | Mathematics | Commutative ringsDDC classification: 512.44
Contents:
Part I. The Algebra-Geometry Lexicon. 1. Hilbertʹs Nullstellensatz 2. Noetherian and Artinian Rings 3. The Zariski Topology 4. A Summary of the Lexicon Part II. Dimension. 5. Krull Dimension and Transcendence Degree 6. Localization 7. The Principal Ideal Theorem 8. Integral Extensions Part III. Computational Methods. 9. Grobner Bases 10. Fibers and Images of Morphisms Revisited 11. Hilbert Series and Dimension Part IV. Local Rings. 12. Dimension Theory 13. Regular Local Rings 14. Rings of Dimension One Solutions of Some Exercises.
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Item type Current library Call number Status Date due Barcode Item holds
General Books General Books Central Library, Sikkim University
General Book Section 		512.44 GRE/C (Browse shelf(Opens below)) Available P40937
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Part I. The Algebra-Geometry Lexicon.

1. Hilbertʹs Nullstellensatz

2. Noetherian and Artinian Rings

3. The Zariski Topology

4. A Summary of the Lexicon

Part II. Dimension. 5. Krull Dimension and Transcendence Degree

6. Localization

7. The Principal Ideal Theorem

8. Integral Extensions

Part III. Computational Methods. 9. Grobner Bases

10. Fibers and Images of Morphisms Revisited

11. Hilbert Series and Dimension

Part IV. Local Rings. 12. Dimension Theory

13. Regular Local Rings

14. Rings of Dimension One

Solutions of Some Exercises.

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