2 papers
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…
math.RA2024
Cohomologies and deformations of differential algebra morphisms
Lei Du, Yanhong Bao
This paper studies the formal deformations of differential algebra morphisms. As a consequence, we develop a cohomology theory of differential algebra morphisms to interpret the lo…