Smash积与Smash余积的对偶性

Duality between the Smash Product and Smash Coproduct

本文探究了模代数与模余代数、余模代数与余模余代数之间的相互关系,并从含于余代数A0内的余模余代数A□出发,进一步刻画了Smash积与Smash余积的对偶性。

This paper mainly discusses the relations between module algebra and module coalgebra, comod-ule algebra and comodule coalgebra. Last, from the comodule coalgebra A□ contained in A0, we further characterize duality between the smash product and smash coproduct.