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.
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.
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.
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.
This
note covers the following topics:
Rings and Modules, Noetherian Rings, Integral Extensions, Dedekind
Domains and Primary Decomposition of Modules.