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016 7 a| 0153920582| Uk;

020 a| 9783642035449 (hbk. : alk. paper);

020 a| 3642035442 (hbk. : alk. paper);

020 a| 9783642035456 (e-ISBN);

035 a| (WaSeSS)ssj0000476023;

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049 a| EREEa| NEHH;

050 00 a| QA251.3b| .K456 2011;

082 04 a| 512.4/42| 22;

084 a| 5102| GyFmDB;

100 1 a| Kemper, Gregor,d| 1963-=| ^A533238;

245 12 a| A course in commutative algebrah| [electronic resource] /c| Gregor Kemper.;

260 a| Dordrecht ;a| New York :b| Springer,;

300 a| xi, 246 p. :b| ill. ;c| 25 cm.;

490 1 a| Graduate texts in mathematics,x| 0072-5285 ;v| 256;

504 a| Includes bibliographical references (p. 235-237) and indexes.;

505 0 a| 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.;

506 a| Available only to authorized users.;

520 a| 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.--c| Back cover.;

538 a| Mode of access: World Wide Web;

650 0 a| Commutative algebra.=| ^A30350;

650 0 a| Algebra.=| ^A33401;

650 0 a| Mathematics.=| ^A2085;

650 04 a| Àlgebra commutativa.;

650 04 a| Matemàtica.;

650 07 a| Kommutative Algebra2| swd;

655 0 a| Electronic books.=| ^A491897;

830 0 a| Graduate texts in mathematics ;v| 256.=| ^A638225;

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-642-03545-6;

856 40 z| Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2011 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-642-03545-6;

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A course in commutative algebra / Gregor Kemper.

Author/creator	Kemper, Gregor, 1963-
Format	Electronic
Publication Info	Dordrecht ; New York : Springer,
Description	xi, 246 p. : ill. ; 25 cm.
Supplemental Content	Full text available from Springer Books
Supplemental Content	Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2011 English International
Subjects	Commutative algebra. Algebra. Mathematics. Àlgebra commutativa. Matemàtica.

Series	Graduate texts in mathematics, 0072-5285 ; 256 Graduate texts in mathematics ; 256. ^A638225
Contents	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.
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.
Bibliography note	Includes bibliographical references (p. 235-237) and indexes.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2013444043
ISBN	9783642035449 (hbk. : alk. paper)
ISBN	3642035442 (hbk. : alk. paper)
ISBN	9783642035456 (e-ISBN)

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A course in commutative algebra / Gregor Kemper.

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