倾斜对的一个推广

A Generalization of Tilting Pair

证明了当(U,V)为相对弱倾斜对时,N∈_V■当且仅当N∈V~⊥∩_U■.进而得出在一定条件下,若Pres~∞(V)=V~⊥∩_U■,则(U,V)为相对弱倾斜对,且codim_(add_RV)U≤n.

this paper,we prove that N∈V■if and only if N∈V⊥∩U■when(U,V)is a relative weak tilting pair.Moreover,we induce that under some conditions,if Pres Pres∞(V)=V⊥∩U■,then(U,V)is a relative weak tilting pair,and co codim addRvU≤n.