χ-拟连续模

χ-quasi-continuous modules

定义了 Q-模及 Q(χ) -模 ,证明了 M是 Q-模当且仅当 M是拟连续模以及给出了 1型χ-拟连续模和 2型χ-拟连续模的等价条件 。

Q-module and Q(χ)-module are defined. It is claimed that M is Q-module if and only if M is a quasi-continuous module; and some equivalent conditions of type 1 χ-quasi-continuous module and type 2 χ-quasi-contiuous module are given. Meanwhile, several related known results are generalized.