中文摘要：

该文引进了广义对角交叉余积,广义L-R smash余积,广义双边交叉余积和双边smash余积并研究它们的关系.特别地,给出了两种不同方法来解释广义对角交叉余积与广义L-Rsmash余积之间的关系.作为应用,运用比较简单的证明给出关于iterated广义smash余积的一个重要的结论.

英文摘要：

The so-called generalized diagonal crossed coproduct,generalized L-R smash coproduct, generalized two-sided crossed coproduct and two-sided smash coproduct are introduced and their relations are investigated.In particular,the authors give two different interpretations about relations between generalized diagonal crossed coproducts and generalized L-R smash coproducts.As an application,an easy conceptual proof of an important but very technical result concerning iterated generalized smash coproducts is obtained.