... xr−1) M :Ma) .2.3Ma Ma M3.3.1 N ⊆ M N A (N; M) = dimkHomA(k, M /N) = Socdim(M /N) = (0 :Mm).3.2 W = H0m(M) n q M m n q N A(q; M) = Soc dim(M) + N A(q; M/W ).3.3 M aM x1, x2, ... −→ M/qM −→ Hdm(M)ϕ0 −→ Soc(K) −→ Soc (M/qM) −→ Soc(Hdm(M)) −→ 0. N A(q; M) = (Soc(M/qM)) = (Soc(K)) + (Soc(Hdm(M))= Soc dimdi=1Ui + qMqM + Soc dimHdm(M). Λ3.5 ... d)M (x1, x2, . . . , xr)A ⊆ a n 1, n 2, . . . , n r 1x n 1 +1 1, . . . , x n r +1 rM :Mx n 11 x n rr= (x1, . . . , xr) M + ri=1U ((x1, . . . , xi, . ....