Standard Bases in Local Rings

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Authors: Subrata Karmaker
Cited by: 0

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