t-Unique Reductions for Mészáros's Subdivision Algebra

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Grinberg, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209772
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: t-Unique Reductions for Mészáros's Subdivision Algebra / D. Grinberg // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 30 назв. — англ.

Fix a commutative ring k, two elements β ∈ k and α ∈ k, and a positive integer n. Let X be the polynomial ring over k in the n(n−1)/2 indeterminates xᵢ,ⱼ for all 1 ≤ i < j ≤ n. Consider the ideal J of X generated by all polynomials of the form xᵢ,ⱼxⱼ,ₖ−xᵢ,ₖ(xᵢ,ⱼ+xⱼ,ₖ+β)−α for 1 ≤ i< j < k ≤...