Basic commutative algebra / Balwant Singh

By:

Singh, Balwant

Material type: Text

TextLanguage: English Publication details: Singapore: World Scientific, 2022.Edition: 1stDescription: xiv, 390 p.: ill.; 23 cmISBN:

9781944659936

Subject(s):

Algèbre commutative, Commutative algebra

DDC classification:

23 512.44 SIN

Contents:

1. Rings and ideals 2. Modules and algebras 3. Polynomial and power series rings 4. Homological tools I 5. Tensor, symmetric and exterior algebras 6. Finiteness conditions 7. Primary decomposition 8. Filtrations and completions 9. Numerical functions 10. Principal ideal theorem 11. Integral extensions 12. Normal domains 13. Transcendental extensions 14. Affine algebras 15. Derivations and differentials 16. Valuation rings and valuations 17. Homological tools II 18. Homological dimensions 19. Depth 20. Regular rings 21. Divisor class groups

Summary: Suitable for a one or two semester course in commutative algebra, this textbook provides an introduction to commutative algebra at the postgraduate and research levels.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
General Books	CUTN Central Library Sciences	Non-fiction	512.44 SIN (Browse shelf(Opens below))	Available		46166

1. Rings and ideals
2. Modules and algebras
3. Polynomial and power series rings
4. Homological tools I
5. Tensor, symmetric and exterior algebras
6. Finiteness conditions
7. Primary decomposition
8. Filtrations and completions
9. Numerical functions
10. Principal ideal theorem
11. Integral extensions
12. Normal domains
13. Transcendental extensions
14. Affine algebras
15. Derivations and differentials
16. Valuation rings and valuations
17. Homological tools II
18. Homological dimensions
19. Depth
20. Regular rings
21. Divisor class groups

Suitable for a one or two semester course in commutative algebra, this textbook provides an introduction to commutative algebra at the postgraduate and research levels.

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