中文摘要：

设φ：C〉B是代数满同态，研究B和C的模相对Hochschild（上）同调之间的本质联系，从而进一步得到B和C的相对Hochschild（上）同调之间的关系．

英文摘要：

It investigated the relationship between the module-relative-Hochschild （co） homology of algebras B and C there was an epimorphism φ： C→B. Moreover, it got the relationship of their relative-Hochschild （co） homology respect to homomorphisms of algebras.