· 2018
Introduction To Commutative Algebra
- 3,041citations
- 2018year
Short summary
This abstract outlines the foundational topics covered in an introductory text on commutative algebra, detailing key areas such as rings, ideals, modules, and dimension theory.
AI-generated from the title and abstract; the full text is not read.
Key points
- Covers fundamental algebraic structures: rings, ideals, and modules.
- Includes essential concepts like primary decomposition and integral dependence.
- Addresses advanced topics such as chain conditions, Noetherian and Artin rings.
- Explores specialized areas like Dedekind domains and completions.
- Introduces dimension theory as a key aspect of the subject.
AI-generated from the title and abstract; the full text is not read.
Abstract
* Introduction * Rings and Ideals * Modules * Rings and Modules of Fractions * Primary Decomposition * Integral Dependence and Valuations * Chain Conditions * Noetherian Rings * Artin Rings * Discrete Valuation Rings and Dedekind Domains * Completions * Dimension Theory
The authors' abstract, as published at the source., 2018 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics