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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
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
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
