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Commutative Algebra Lecture Notes by Marco Andrea Garuti
This note covers basic notions, Local properties, Integral dependence, valuations and completions, Noetherian rings and modules, Dedekind domains, Dimension theory.
Author(s): Marco Andrea Garuti
160 Pages
Commutative Algebra by Zhiyuan Bai
This note explains the following topics: Polynomial algebras, Localisation, Dimension theory, Discrete valuation rings.
Author(s): Zhiyuan Bai
32 Pages
Introduction to Commutative Algebra by Jason McCullough
This note covers the following topics: Primary Decomposition, Filtrations and Completions, Dimension Theory, Integral Extensions, Homological Methods, Depth and Cohen Macaulay Modules, Injective Modules over Noetherian Rings, Local Cohomology, Applications and Generalizations.
Author(s): Jason McCullough
268 Pages
Progress in Commutative Algebra 2
This PDF book Progress in Commutative Algebra 2 covers the following topics related to Commutative Algebra : A Guide to Closure Operations in Commutative Algebra, A Survey of Test Ideals, Finite-dimensional Vector Spaces with Frobenius Action, Finiteness and Homological Conditions in Commutative Group Rings, Regular Pullbacks, Noetherian Rings without Finite Normalization, Krull Dimension of Polynomial and Power Series Rings, The Projective Line over the Integers, On Zero Divisor Graphs, A Closer Look at Non-unique Factorization via Atomic Decay and Strong Atoms.
Author(s): De Gruyter
328 Pages
This note covers the following topics: introduction to commutative rings, introduction to modules, ideals, examples of rings, Swan's theorem, localization, Noetherian rings, boolean rings, Affine algebras and the Nullstellensatz, the spectrum, integral extensions, factorization, dedekind domains and picard groups.
Author(s): Pete L. Clark
NA 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
