Year: 2026
Type: article
Abstract: In this paper, we introduce the notion of an Np-graded birack and construct its isotope. Every involutive Np-graded birack gives rise to an Np-graded Yang-Baxter algebra. We study the relation between isotopes of involutive Np-graded biracks and Zhang twists of Np-graded Yang-Baxter algebras. As an example, Yang-Baxter algebras determined by distributive solutions are proved to be Zhang twists of polynomial algebras.
Source: Mathematics
DOI: 10.3390/math14020372
Authors: Xiaolan Yu, Yanfei Zhang
Institution: Hangzhou Normal University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
Award: G5653000892
OpenAlex ID: W7125482178