北上 任
Abstract
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.
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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.
Key concepts: Coproduct, Duality (order theory), Product (mathematics), Mathematics, Pure mathematics, Geometry