2 papers
math.RA2025
Codimension sequence, grade, and generating degree: an operadic approach
Y. -H. Bao, D. -X. Fu, J. -N. Xu +4
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 . Thi…
math.RA2024
Operad and cohomology of associative algebras with generalized derivations
Jiang-Nan Xu, Yan-Hong Bao
An associative algebra with a generalized derivation is called an AsGDer triple. We introduce the operad that encodes AsGDer triples, and prove it is a Koszul operad. Using its Kos…