<h3>MA6470 COMMUTATIVE ALGEBRA</h3>
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<h4>Course Details</h4>
Rings and Modules, Localisation of Rings and Modules, Noetherian Rings and Modules, Primary Decomposition, Artinian rings, Integral Extensions, Going-up, Lying-over and Going-down Theorems, Hilbert's Nullstellensatz, Noether's Normalisation, Dimension Theorem, Krull's Principal Ideal Theorem, Dedekind Domains.
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<h4>Course References:</h4>
Books:<br>
1.M. F. Atiyah and I. G. Macdonald: Introduction to Commutative Algebra, Addision-Wesley , 1969.<br>
2.N. S. Gopalakrishnan: Commutative Algebra, Oxonian Press, 1984.