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arXiv · 2504.19168

Codimension sequence, grade, and generating degree: an operadic approach

Y. -H. Bao·D. -X. Fu·J. -N. Xu·Y. Ye·J. J. Zhang·Y. -F. Zhang·Z. -B. Zhao
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Abstract

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 $g\leq 5$).

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Y. -H. Bao, D. -X. Fu, J. -N. Xu, Y. Ye, J. J. Zhang, Y. -F. Zhang, Z. -B. Zhao. 2025-04-27. Codimension sequence, grade, and generating degree: an operadic approach. https://arxiv.org/abs/2504.19168

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