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Codimension sequence, grade, and generating degree: an operadic approach (2504.19168v3)
Published 27 Apr 2025 in math.RA
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 $ng$ with $g\leq 5$ (or equivalently, varieties of grade $g$ with $g\leq 5$).
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