Lyndon words for Artin-Schelter regular algebras
G.-S. Zhou, D.-M. Lu
TL;DR
This paper explores the use of Lyndon words to analyze invariants of graded algebras and introduces methods to construct Artin-Schelter regular algebras using Lyndon words.
Contribution
It presents new techniques for constructing Artin-Schelter regular algebras based on Lyndon words and investigates their invariants.
Findings
Invariants of graded algebras with Lyndon word obstructions are characterized.
Methods for constructing Artin-Schelter regular algebras from Lyndon words are developed.
Lyndon words serve as a tool for understanding algebraic obstructions.
Abstract
We show certain invariants of graded algebras of which all obstructions are Lyndon words and provide some methods to construct Artin-Schelter regular algebras from a closed set of Lyndon words.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Rings, Modules, and Algebras · Advanced Algebra and Logic