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.

中文翻译：

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塔夫脱代数的 Drinfeld 双倍的绿环

摘要 在本文中，我们研究了 Taft 代数的 Drinfeld 对偶的表示环（或绿环）。结果表明，这些绿环是由无限多个元素服从一定关系而产生的交换环。给出了生成器和从属关系。还描述了 Taft 代数的 Drinfeld 对偶的稳定格林环。