TY - GEN AU - Singh, Balwant. TI - Basic commutative algebra SN - 9789382993131 U1 - 512.44 23 PY - 2013/// CY - New Delhi PB - World scientific KW - Commutative algebra. N1 - Includes bibliographical references and index; 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 extenstions -- 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-- Bibliography-- Index ER -