TY  - BOOK
AU  - Kemper,Gregor
TI  - Course in commutative algebra 
T2  - Graduate texts in mathematics,
SN  - 9783642035449 (Hbk)
AV  - QA251.3 .K456 2011
U1  - 516.35 K32C 23
PY  - 2011///
CY  - New York
PB  - Springer
KW  - Commutative algebra
KW  - Algebra
KW  - Mathematics
KW  - Àlgebra commutativa
KW  - Matemàtica
KW  - Kommutative Algebra
KW  - swd
N1  - Includes bibliographical references (p. 235-237) and indexes; Introduction ---- 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
N2  - This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and results at the center of the field. The book maintains a constant view on the natural geometric context, enabling the reader to gain a deeper understanding of the material. Although it emphasizes theory, three chapters are devoted to computational aspects. Many illustrative examples and exercises enrich the text.--
UR  - http://d-nb.info/996813195/04
ER  -