关于满足条件(P′)的循环S-系

On the cyclic S-acts satisfying condition(P′)

设S是幺半群,ρ是S上的右同余,S/ρ是循环右S-系。讨论了满足条件(P′)的循环右S-系关于条件(P)、条件(PF″)、弱拉回平坦、强平坦、投射性质的同调分类问题。

Let S be a monoid andρbe a right congruence on S,S/ρbe a cyclic right S-act.The homological classification problem of cyclic right S-acts satisfying condition(P′)with respect to condition(P),condition(PF″),weakly pullback flat,strong flat and projective properties are discussed.