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Course Detail

Course Name Commutative Algebra
Course Code 24MAT538
Program Integrated M. Sc. Mathematics and Computing
Semester Elective
Credits 3
Campus Coimbatore

Summary

  1. Rings and ideals, modules and operations on them (tensor product, Hom, direct sum and product). Rings and modules of Fractions, primary decomposition. Integral dependence and Valuations, Chain Conditions. 
  2. Noetherian Rings and Artin Rings. 
  3. Discrete valuation Rings and Dedekind Domains, Dimension theory.

Text Books / References

  1. Atiyah-Macdonald, Commutative Algebra, Westview Press, 1994.
  2. Zariski and Samuel, Commutative Algebra I, II , Springer, 1991.
  3. Eisenbud, Commutative Algebra with a View Towards Algebraic Geometry, Springer, 1995.
  4. Bourbaki, Commutative Algebra, Springer, 1989.

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