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Commutative Algebra Books . We hope students and teachers like these textbooks, notes and solution manuals.
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Lectures on Commutative Algebra written by Sudhir Ghorpade .
Book Detail :-
Title: Lectures on Commutative Algebra
Edition:
Author(s): Sudhir R. Ghorpade
Publisher: Jones & Bartlett Pub
Series:
Year:
Pages: 64
Type: PDF
Language: English
ISBN:
Country: India
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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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