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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
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
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
