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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 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
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
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
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
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
Commutator Theory for Congruence Modular Varieties
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
