A course in commutative algebra/ Gregor Kemper.
Material type: TextSeries: 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: 512.44Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
General Books | Central Library, Sikkim University General Book Section | 512.44 GRE/C (Browse shelf(Opens below)) | Available | P40937 |
Browsing Central Library, Sikkim University shelves, Shelving location: General Book Section Close shelf browser (Hides shelf browser)
512.44 ATI/I Introduction to Commutative Algebra/ | 512.44 ATI/I Introduction to Commutative Algebra/ | 512.44 ATI/I Introduction to Commutative Algebra | 512.44 GRE/C A course in commutative algebra/ | 512.441 LEU/C Cohen-Macaulay representations/ | 512.46 BEN/N Noncommutative algebra/ | 512.482 BUM/L Lie groups/ |
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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