机构地区: 华南理工大学理学院数学与应用数学系
出 处: 《数学学报(中文版)》 1998年第6期1283-1288,共6页
摘 要: 本文给出对偶余模M°的结构刻划及()°作为逆变函子的左正合性.同时引入余反射余模描述余反射余代数,由此研究余反射余代数的同调性质,证明当char(F)=0时,F[x1,...,xn]°上的Serre猜测是成立的,即F[x1,...,xn]°的有限余生成内射余模均为余自由的. In this paper we show the structure of dual comodule M0. We proof that the contravariant functor ()° is left exactness. We also introduce the coreflexive comodule to investigate the coreflexive coalgebras. Then we study some homological properties for corefiexive coalgebras. Finally let char (F) = 0 and C = F[x1, x2,...,xn]°, we show that every finitely cogenerated injective right C-comodules in cofree.