论文标题
用微不足道的$ \ mathbb {a} $ - actions ocerad
Operads with trivial $\mathbb{A}$-actions
论文作者
论文摘要
我们使用琐碎的$ \ mathbb {a} $ - 动作研究了oparad，并证明了$ \ mathbb {a} $ - 琐碎的琐事和伪级 - 珀姆 - 珀姆 - 珀姆 - 珀姆 - 珀姆协会代数之间的等价性。结果，我们表明，有限生成的$ \ mathbb {a} $ - 琐碎的歌剧是整数Gelfand-Kirillov Dimension的正确的Noetherian，并且Prime $ \ Mathbb {a} $ - 琐事 - 琐事的每个元素都是中心的。
We study operads with trivial $\mathbb{A}$-actions and prove an equivalence between the category of $\mathbb{A}$-trivial operads and that of pseudo-graded-Perm associative algebras. As a consequence, we show that finitely generated $\mathbb{A}$-trivial operads are right noetherian of integral Gelfand-Kirillov dimension and that every element in a prime $\mathbb{A}$-trivial operad is central.
