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Bibliographische Detailangaben
Hauptverfasser: Li, Yu, Qi, Zihao, Xu, Yongjun, Zhang, James J., Zhang, Zerui, Zhao, Xiangui
Format: Preprint
Veröffentlicht: 2022
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2203.11109
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Inhaltsangabe:
  • 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.