Geodesic
Ideal extensions of graph algebras
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 933-947

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $\mathcal A$ and $\mathcal B$ be graph algebras. In this paper we present the notion of an ideal in a graph algebra and prove that an ideal extension of $\mathcal A$ by $\mathcal B$ always exists. We describe (up to isomorphism) all such extensions.
Classification : 08A30
Keywords: oriented graph; graph (Shallon) algebra; congruence relation; ideal; quotient graph algebra; ideal extension 
@article{CMJ_2006__56_3_a11,
     author = {\v{C}ipkov\'a, Karla},
     title = {Ideal extensions of graph algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {933--947},
     publisher = {mathdoc},
     volume = {56},
     number = {3},
     year = {2006},
     mrnumber = {2261665},
     zbl = {1164.08300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_3_a11/}
}
TY  - JOUR
AU  - Čipková, Karla
TI  - Ideal extensions of graph algebras
JO  - Czechoslovak Mathematical Journal
PY  - 2006
SP  - 933
EP  - 947
VL  - 56
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2006__56_3_a11/
LA  - en
ID  - CMJ_2006__56_3_a11
ER  - 
%0 Journal Article
%A Čipková, Karla
%T Ideal extensions of graph algebras
%J Czechoslovak Mathematical Journal
%D 2006
%P 933-947
%V 56
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2006__56_3_a11/
%G en
%F CMJ_2006__56_3_a11
Čipková, Karla. Ideal extensions of graph algebras. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 933-947. http://geodesic.mathdoc.fr/item/CMJ_2006__56_3_a11/