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Lectures on Commutative Algebra written by Sudhir Ghorpade .
Book Detail :-
Title: Lectures on Commutative Algebra
Author(s): Sudhir R. Ghorpade
Publisher: Jones & Bartlett Pub
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Lectures on Commutative Algebra written by
Sudhir Ghorpade , Department of Mathematics, Indian Institute of Technology, Mumbai 400 076, India
cover the following topics.
Rings and Modules
Ideals and Radicals, Polynomial rings and Localization of rings, Modules, Zariski Topology, Exercises Noetherian Rings
Noetherian Rings and Modules, Primary Decomposition of Ideals, Artinian Rings and Modules, Krull’s Principal Ideal Theorem, Exercises Integral Extensions
Integral Extensions, Noether Normalization, Finiteness of Integral Closure, Exercises Dedekind Domains
Dedekind Domains, Extensions of Primes, Exercises Primary Decomposition of Modules
Associated Primes of Modules, Primary Decomposition of Modules, Exercises References
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