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|a Kemper, Gregor.
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| 245 |
1 |
2 |
|a A Course in Commutative Algebra
|h [electronic resource] /
|c by Gregor Kemper.
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|a 1st ed. 2011.
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1 |
|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2011.
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| 300 |
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|a XII, 248 p.
|b online resource.
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|a Graduate Texts in Mathematics,
|x 0072-5285 ;
|v 256
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|a Springer eBook Collection
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|a Introduction -- Part I The Algebra Geometry Lexicon: 1 Hilbert's 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 Gröbner 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 -- References -- Notation -- Index.
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| 520 |
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|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.
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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Algebraic geometry.
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| 650 |
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|a Commutative algebra.
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| 650 |
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|a Commutative rings.
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| 650 |
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|a Computer mathematics.
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