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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto

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Timothy Ford
Florida Atlantic University
MR ID: 16768
Reference #
OMN:202409.111443

Attributes

Posted date
2024-10-03 04:37:37
Revised date
2024-10-03 04:37:37
Level
   Graduate
Notes type
   Standard Course Offering
   Topics Course
Topic
   Algebra
      Commutative Algebra

Commutative Algebra

A self-contained introduction to the theory of Commutative Algebra, at
a level that is accessible to students or researchers who have already
completed a standard two-semester Introduction to Abstract Algebra
course. Topics include fundamentals of rings and modules, an
introduction to Homological Algebra, integral extensions, primary
decomposition theorems, Krull dimension, derivations, differentials,
normal rings, regular rings, divisor class groups and classical ideal
theory.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (4.2M) 10/03/24