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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.19168 |
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| _version_ | 1866909721359810560 |
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| author | Bao, Y. -H. Fu, D. -X. Xu, J. -N. Ye, Y. Zhang, J. J. Zhang, Y. -F. Zhao, Z. -B. |
| author_facet | Bao, Y. -H. Fu, D. -X. Xu, J. -N. Ye, Y. Zhang, J. J. Zhang, Y. -F. Zhao, Z. -B. |
| contents | We study several classes of operadic ideals of the unital associative algebra operad $\uas$. As an application, we classify quotient operads of $\uas$ of GK-dimension $\leq 6$. This corresponds to a classification of all T-ideals of codimension growth $n^g$ with $g\leq 5$
(or equivalently, varieties of grade $g$ with $g\leq 5$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19168 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Codimension sequence, grade, and generating degree: an operadic approach Bao, Y. -H. Fu, D. -X. Xu, J. -N. Ye, Y. Zhang, J. J. Zhang, Y. -F. Zhao, Z. -B. Rings and Algebras We study several classes of operadic ideals of the unital associative algebra operad $\uas$. As an application, we classify quotient operads of $\uas$ of GK-dimension $\leq 6$. This corresponds to a classification of all T-ideals of codimension growth $n^g$ with $g\leq 5$ (or equivalently, varieties of grade $g$ with $g\leq 5$). |
| title | Codimension sequence, grade, and generating degree: an operadic approach |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2504.19168 |