Operads with trivial $\mathbb{A}$-actions
Fuente:
arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908492314443776 |
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| author | Li, Yu Qi, Zihao Xu, Yongjun Zhang, James J. Zhang, Zerui Zhao, Xiangui |
| author_facet | Li, Yu Qi, Zihao Xu, Yongjun Zhang, James J. Zhang, Zerui Zhao, Xiangui |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_11109 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Operads with trivial $\mathbb{A}$-actions Li, Yu Qi, Zihao Xu, Yongjun Zhang, James J. Zhang, Zerui Zhao, Xiangui Rings and Algebras 18M60, 18M70, 16P90 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. |
| title | Operads with trivial $\mathbb{A}$-actions |
| topic | Rings and Algebras 18M60, 18M70, 16P90 |
| url | https://arxiv.org/abs/2203.11109 |