关于(余)反射的范畴性质及其应用(英文)

On Categoricities of (Co-)Reflexivity and Their Applications

英文关键词:reflexivity  coreflexivity  algebras  coalgebras.

中文摘要:

      本文研究了（余）反射的范畴性质及应用，得到的主要结果如下：（１）余反射余代数范畴和反射代数范畴是等价的．（２）反射和余反射都具有可扩张性．使用这些结果可以用来推广和化简了［１—４］等人的部分工作．

英文摘要:

      In this paper, we study some categoricities of reflexivity and coreflexivity. The main results are as follows: (1). A and C are a pair of equivalent categories.(2). Reflexivity and coreflexivity can be extended as mentioned in the paper. Those can be used to simplify and generalize some results of .