摘要
本文对（H,K）-余模代数A，讨论了弱Galois扩张A／C，证明了k的每个自由二次扩张是弱Galois扩张．并利用反Smash积＃op（K，A）与K－余不变子代数C之间的Morita联系讨论A的投射性、Galois扩张及其传递性．
In this paper, we discuss the weak Galois extension for any (H, K) -comodule algebra A, and prove that any free quadratic extension of k is a weak Galois extension. Then we discuss the projectivity of A, Galios extensions and their transitivity by using the Morita relation bewteen the opposite smash product #op(K, A) and the K-coinvariant subalgebra C.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1998年第6期1165-1172,共8页
Acta Mathematica Sinica：Chinese Series
基金
江苏省教委基金
关键词
余模代数
弱Galois扩张
投射模
反Smash积
Comodule algebra, Free quadratic extension, Weak Galois extension, Projective module
