arXiv subjects

Y. -F. Zhang

Publications and source records attributed to Y. -F. Zhang.

2 recordsLinked to original sources

arXiv2025

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

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 $g\leq 5$).

math.RA↗

arXiv2023

Ideals of the associative algebra operad

We prove a one-to-one correspondence between the operadic ideals of the operad $\As$ and $T$-ideals. As a consequence, we show that $\As$ is noetherian and that every proper operadic ideal of $\ias$ is generated by a single element.

math.RA↗