TY  - BOOK
AU  - Gregor, Kemper.
TI  - A course in commutative algebra
SN  - 9783642035456
U1  - 512.44 
PY  - 2011///
CY  - New York
PB  - Springer
KW  - Commutative algebra	
KW  - Computer science--Mathematics	
KW  - Algebra
KW  - Mathematics
KW  - Commutative rings
N1  - 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
ER  -