2 papers
math.RA2026
Superalgebras and Algebras with Involution: Classifying Cubic Codimension Sequences
Yan-Hong Bao, Jiang-Nan Xu, Yuan-Feng Zhang
A -algebra is either a superalgebra or an algebra with involution. In this paper, we study -ideals associated with unital -algebras whose -codimension…
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…