Commutative Algebra: with a View Toward
β David Eisenbud (auth.)
π Library
π
1995
π Springer New York
π English
β¦ LIBER β¦
π
Commutative Algebra: with a View Toward Algebraic Geometry
β Scribed by David Eisenbud (auth.)
- Publisher
- Springer New York
- Year
- 1995
- Tongue
- English
- Leaves
- 784
- Series
- Graduate Texts in Mathematics 150
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-xvi
Introduction....Pages 1-10
Elementary Definitions....Pages 11-17
Front Matter....Pages 19-19
Roots of Commutative Algebra....Pages 21-56
Localization....Pages 57-86
Associated Primes and Primary Decomposition....Pages 87-115
Integral Dependence and the Nullstellensatz....Pages 117-144
Filtrations and the Artin-Rees Lemma....Pages 145-153
Flat Families....Pages 155-178
Completions and Henselβs Lemma....Pages 179-209
Front Matter....Pages 211-211
Introduction to Dimension Theory....Pages 213-224
Fundamental Definitions of Dimension Theory....Pages 225-229
The Principal Ideal Theorem and Systems of Parameters....Pages 231-246
Dimension and Codimension One....Pages 247-269
Dimension and Hilbert-Samuel Polynomials....Pages 271-280
The Dimension of Affine Rings....Pages 281-301
Elimination Theory, Generic Freeness, and the Dimension of Fibers....Pages 303-315
GrΓΆbner Bases....Pages 317-381
Modules of Differentials....Pages 383-415
Front Matter....Pages 417-417
Regular Sequences and the Koszul Complex....Pages 419-446
Depth, Codimension, and Cohen-Macaulay Rings....Pages 447-468
Front Matter....Pages 417-417
Homological Theory of Regular Local Rings....Pages 469-488
Free Resolutions and Fitting Invariants....Pages 489-517
Duality, Canonical Modules, and Gorenstein Rings....Pages 519-554
Back Matter....Pages 555-788
β¦ Subjects
Algebraic Geometry
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1995
π Springer New York
π English
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Commutative algebra, with a view toward
β David Eisenbud
π Library
π
1995
π Springer
π English
Commutative algebra, with a view toward
β David Eisenbud
π Library
π
1995
π Springer
π English
Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition,