A Course in Commutative Algebra

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Springer Science & Business Media, 02.12.2010 - 248 Seiten
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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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Inhalt

Introduction
2
Part I The AlgebraGeometry Lexicon
6
Part II Dimension
49
Part III Computational Methods
115
Part IV Local Rings
165
Solutions of Some Exercises
217
References
235
Notation
239
Index
241
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Über den Autor (2010)

The author is professor of algorithmic algebra at the Technische Universität München, in Munich. He regularly teaches courses in commutative algebra, invariant theory, and computer algebra. In 2007 he received an award from the state of Bavaria for excellence in teaching.

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