Standard Bases in Local Rings
Abstract
This is an expository manuscript on standard bases in local rings, intended as a learning resource for readers with background in Gröbner bases and commutative algebra. The exposition follows the presentation in Cox, Little, and O’Shea, Using Algebraic Geometry (Springer, 2005), with expanded explanations and examples. No new results are claimed.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 10 January 2026
- Document type
- Preprint