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Introduction to commutative Algebra Lecture Notes
This Lecture note contains the following topics: Prime ideals and localization, Finite and integral homomorphisms, Noetherian rings and modules, Associated Primes and primary decomposition, Noether normalization, Nullstellensatz and the maximal spectrum, Dimension theory, special cases of rings, Tor and Ext, Flatness, Depth and Cohen Macaulay rings and Modules, Regular rings and Graded modules.
Author(s): Mircea Mustata, Department of University of Michigan
92 Pages
Commutative Algebra by Allen B. Altman
This PDF book A Term of Commutative Algebra covers the following topics related to Commutative Algebra : Rings and Ideals, Prime Ideals, Radicals, Modules, Exact Sequences, Fitting Ideals, Direct Limits, Filtered direct limits, Tensor Products, Flatness, Cayley–Hamilton Theorem, Localization of Rings, Localization of Modules, Cohen–Seidenberg Theory, Noether Normalization, Jacobson Rings, Chain Condition, Noetherian Spaces, Associated Primes, Primary Decomposition, Old-primary Submodules, Length, Hilbert Functions, etc.
Author(s): Allen B. Altman, Steven L. Kleiman
434 Pages
Commutative Algebra by Columbia University
Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Basic commutative algebra will be explained in this document.
Author(s): Columbia University
443 Pages
Introduction to Commutative Algebra II
Goal of this course note is to teach commutative algebra and some topics in algebraic geometry in a parallel manner.
Author(s): Thomas J. Haines
87 Pages
Added till here on 20-4-13 Commutative Algebra
Author(s): Mel Hochster
170 Pages
A Quick Review of Commutative Algebra
These notes attempt to give a rapid review of the rudiments of Classical Commutative Algebra. Proofs of several of the results are also outlined.
Author(s): Sudhir R. Ghorpade
64 Pages
Lectures on Commutative Algebra
This note covers the following topics: Rings and Modules, Noetherian Rings, Integral Extensions, Dedekind Domains and Primary Decomposition of Modules.
Author(s): Sudhir R. Ghorpade
64 Pages
Constructive Aspects of the Inverse Galois Problem
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
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