A !... B .!! -. C ~ zero is named a brief distinct series; word that f is a monomorphism and g an epimorphism. The previous comments express brief detailed series is simply differently of featuring a submodule (A '" 1m f) and its quotient module (B/lm f = B/Ker g '" C). Lemma 1. 17. (The brief 5 Lemma) permit R be a hoop and a commutative diagram ofR-modules and R-module homomorphisms such that every row is a quick precise series.
Rated 5 – based on votes of