Basic commutative algebra /
Singh, Balwant
Basic commutative algebra / Balwant Singh - 1st - Singapore: World Scientific, 2022. - xiv, 390 p.: ill.; 23 cm.
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.
9781944659936
Algèbre commutative, Commutative algebra
512.44 / SIN
Basic commutative algebra / Balwant Singh - 1st - Singapore: World Scientific, 2022. - xiv, 390 p.: ill.; 23 cm.
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.
9781944659936
Algèbre commutative, Commutative algebra
512.44 / SIN