Green rings of Drinfeld Doubles of Taft algebras
Hua Sun, Hassan Suleman Esmael Mohammed, Weijun Lin, Hui-Xiang Chen

TL;DR
This paper studies the structure of the Green ring of the Drinfeld double of Taft algebras, revealing it as a commutative ring generated by infinitely many elements with specific relations.
Contribution
It provides a detailed description of the Green ring of the Drinfeld double of Taft algebras, including its generators and relations, which was not previously known.
Findings
Green ring is commutative
Generated by infinitely many elements
Subject to specific algebraic relations
Abstract
In this article, we investigate the representation ring (or Green ring) of the Drinfeld double of the Taft algebra , where is an integer with and is a root of unity of order . It is shown that the Green ring is a commutative ring generated by infinitely many elements subject to certain relations.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras
