Relations with All Kinds of Crossed Coproducts
几类交叉余积的关系

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.