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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, CayleyHamilton Theorem, Localization of Rings, Localization of Modules, CohenSeidenberg Theory, Noether Normalization, Jacobson Rings, Chain Condition, Noetherian Spaces, Associated Primes, Primary Decomposition, Oldprimary Submodules, Length, Hilbert Functions, etc.
Author(s): Allen B. Altman, Steven L. Kleiman
434 Pages 
Frobenius Splitting in Commutative Algebra
This note contains below topics, The Frobenius Map for Rings the local theory, Frobenius for Schemes the Global Theory, The Test Ideal, Test Ideals for Pairs, So what does CohenMacaulay mean.
Author(s): Karen E. Smith, Wenliang Zhang
53 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
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, CayleyHamilton Theorem, Localization of Rings, Localization of Modules, CohenSeidenberg Theory, Noether Normalization, Jacobson Rings, Chain Condition, Noetherian Spaces, Associated Primes, Primary Decomposition, Oldprimary Submodules, Length, Hilbert Functions, etc.
Author(s): Allen B. Altman, Steven L. Kleiman
434 Pages