Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
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
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
This book is a clear, concise, and efficient textbook, aimed at beginners, with a good selection of topics. Topics covered includes, Rings and Ideals, Radicals, Filtered Direct Limits, CayleyHamilton Theorem, Localization of Rings and Modules, KrullCohenSeidenberg Theory, Rings and Ideals, Direct Limits, Filtered direct limit.
Author(s): Allen Altman and Steven Kleiman
266 Pages
