2014/04/10 by Staic, Mihai D., Stancu, Alin
#FOS: Mathematics #Primary 16E40 #Rings and Algebras (math.RA) #Secondary 16S80
paper · doi:10.48550/arxiv.1404.2667
We show that the secondary Hochschild cohomology associated to a triple (A,B,ε) has several of the properties of the usual Hochschild cohomology. Among others, we prove the existence of the cup and Lie products, discuss the connection with extensions of B-algebras, and give a Hodge type decomposition of the secondary Hochschild cohomology.