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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, 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
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 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, Cayley–Hamilton Theorem, Localization of Rings and Modules, Krull–Cohen–Seidenberg Theory, Rings and Ideals, Direct Limits, Filtered direct limit.
Author(s): Allen Altman and Steven Kleiman
266 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
