| 000 | 02648cam a22004457a 4500 | ||
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| 001 | 17921477 | ||
| 003 | OSt | ||
| 005 | 20170620110516.0 | ||
| 008 | 131029s2011 gw a b 001 0 eng d | ||
| 010 | _a 2013444043 | ||
| 015 |
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| 016 | 7 |
_a996813195 _2DE-101 |
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| 016 | 7 |
_a015392058 _2Uk |
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| 020 |
_a9783642035449 (Hbk) _cEuro 26.99 |
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| 035 | _a(OCoLC)ocn462919421 | ||
| 040 |
_aIISER Bhopal _beng _cIISER Bhopal |
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| 042 | _alccopycat | ||
| 050 | 0 | 0 |
_aQA251.3 _b.K456 2011 |
| 082 | 0 | 4 |
_a516.35 K32C _223 |
| 100 | 1 |
_aKemper, Gregor, _920961 |
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| 222 | _aMathematics-reference book collection | ||
| 245 | 1 | 2 |
_aCourse in commutative algebra _cGregor Kemper. |
| 260 |
_aNew York : _bSpringer, _cc2011. |
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| 300 |
_axi, 246 p. : _bill. ; _c25 cm. |
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| 490 | 1 |
_aGraduate texts in mathematics, _x0072-5285 ; _v256 |
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| 504 | _aIncludes bibliographical references (p. 235-237) and indexes. | ||
| 505 | 0 | _aIntroduction ---- 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. | |
| 520 | _aThis 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.-- | ||
| 650 | 0 |
_aCommutative algebra. _920962 |
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| 650 | 0 |
_aAlgebra. _920963 |
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| 650 | 0 |
_aMathematics. _920964 |
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| 650 | 0 | 4 |
_aÀlgebra commutativa. _920965 |
| 650 | 0 | 4 |
_aMatemàtica. _920966 |
| 650 | 0 | 7 |
_aKommutative Algebra _2swd _920967 |
| 830 | 0 |
_aGraduate texts in mathematics ; _v256. _920968 |
|
| 856 | 4 | 2 |
_uhttp://d-nb.info/996813195/04 _3Inhaltsverzeichnis |
| 906 |
_a7 _bcbc _ccopycat _d2 _encip _f20 _gy-gencatlg |
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| 942 |
_2ddc _cBK |
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| 999 |
_c7931 _d7931 |
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