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Abstract
In this article, we investigate the representation rings (or Green rings) of the Drinfeld doubles of the Taft algebras. It is shown that these Green rings are commutative rings generated by infinitely many elements subject to certain relations. The generators together with the subjecting relations are given. The stable Green rings of of the Drinfeld doubles of the Taft algebras are also described.
Correction Statement
This article has been republished with minor changes. These changes do not impact the academic content of the article.
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Funding
This work is supported by NNSF (National Natural Science Foundation) of China (No. 11571298, 11971418). The first author is also supported by Graduate Research and Innovation Projects of Jiangsu Province (No. KYCX18– 2359).