一类相对Semiartin环与模

ONE KIND OF RELATIVE SEMIARTINIAN RINGS AND MODULES

通过给出τP_Semiartin环与模的定义 ,得到两个主要结果 :1.建立了τP_Semiartin模及SH =SHom(P ,M )为semiartin模的若干充要条件 ;2 .

The definitions of τ P _Semiartinian ring and module are introduced and two main results are obtained. 1 Some necessary and sufficient conditions for τ P _Semiartinian modules and S Hom( P,M ) to be a Semiartinian module are given; 2 The relations between τ P _Semiartinian rings and modules defined on this kind of rings are studied.