The Symmetric Algebra for Certain Monomial Curves
Debasish Mukhopadhyay
TL;DR
This paper computes a minimal Groebner basis for the symmetric algebra of specific affine monomial curves, advancing algebraic understanding of their structure.
Contribution
It provides the first explicit minimal Groebner basis for the symmetric algebra of certain affine monomial curves, as an R-module.
Findings
Explicit minimal Groebner basis obtained
Enhanced understanding of symmetric algebra structure
Potential applications in algebraic geometry and computational algebra
Abstract
In this article we compute a minimal Groebner basis for the symmetric algebra for certain affine Monomial Curves, as an R-module. Keywords: Monomial Curves, Groebner Basis, Symmetric Algebra. Mathematics Subject Classification 2000: 13P10, 13A30 .
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory