Lecture notes in homological algebra (in russian). git clone https://tilde.club/~simplicialcomplex/git/homalg_lecnotes.git Log | Files | Refs

commit da36ec2218d2e210ced9b2c7cbfeb1ce6b3d8821
parent e258b9dc3734b1c791b82bdb0fa9e4da35791dda
Author: simplicialcomplex <simplicialcomplex@tilde.club>
Date:   Thu,  4 Nov 2021 18:12:17 +0300

fixed typo

Diffstat:
Mnotes.pdf | 0
Mnotes.tex | 2+-

2 files changed, 1 insertion(+), 1 deletion(-)
diff --git a/notes.pdf b/notes.pdf
Binary files differ.
diff --git a/notes.tex b/notes.tex
@@ -1500,7 +1500,7 @@ A\overset{a\mapsto\phi_a}{\longrightarrow}\Hom_\Z(\Z G,A)\overset{f\mapsto\phi_f
\]
$\phi_a(g)=a-ag$
$\phi_f(g\otimes h)=f(h)-f(gh)+f(g)h$
-Элементы $Z^2(G,A)=\{f\colon G\to A\,|\,f(gh)=g(h)+f(g)h\}\defeq\Der(G,A)$ называются {\bfseries\itshape crossed homomorphisms}\index{Crossed homomorphism}.
+Элементы $Z^2(G,A)=\{f\colon G\to A\,|\,f(gh)=f(h)+f(g)h\}\defeq\Der(G,A)$ называются {\bfseries\itshape crossed homomorphisms}\index{Crossed homomorphism}.

Элементы $B^2(G,A)=\im(A\to\Hom_\Z(\Z G,A))\defeq\PDer(G,A)$ называются {\bfseries\itshape principal crossed homomorphisms}\index{Principal crossed homomorphism}.
\begin{stmt}