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- 2013444043 abstract "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.-- Back cover.".
- 2013444043 contributor B12818546.
- 2013444043 created "c2011.".
- 2013444043 date "2011".
- 2013444043 date "c2011.".
- 2013444043 dateCopyrighted "c2011.".
- 2013444043 description "Includes bibliographical references (p. 235-237) and indexes.".
- 2013444043 description "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.".
- 2013444043 description "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.-- Back cover.".
- 2013444043 extent "xi, 246 p. :".
- 2013444043 identifier "3642035442 (hbk. : alk. paper)".
- 2013444043 identifier "9783642035449 (hbk. : alk. paper)".
- 2013444043 identifier "9783642035456 (e-ISBN)".
- 2013444043 identifier 04.
- 2013444043 isPartOf "Graduate texts in mathematics ; 256.".
- 2013444043 isPartOf "Graduate texts in mathematics, 0072-5285 ; 256".
- 2013444043 issued "2011".
- 2013444043 issued "c2011.".
- 2013444043 language "eng".
- 2013444043 publisher "Dordrecht ; New York : Springer,".
- 2013444043 subject "512.4/4 22".
- 2013444043 subject "Algebra.".
- 2013444043 subject "Àlgebra commutativa.".
- 2013444043 subject "Commutative algebra.".
- 2013444043 subject "Kommutative Algebra swd".
- 2013444043 subject "Matemàtica.".
- 2013444043 subject "Mathematics.".
- 2013444043 subject "QA251.3 .K456 2011".
- 2013444043 tableOfContents "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.".
- 2013444043 title "A course in commutative algebra / Gregor Kemper.".
- 2013444043 type "text".