Ideal extensions of graph algebras
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 933-947.
Voir la notice de l'article dans 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
Mots-clés : oriented graph; graph (Shallon) algebra; congruence relation; ideal; quotient graph algebra; ideal extension
Mots-clés : 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 = {https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_3_a11/} }
Čipková, Karla. Ideal extensions of graph algebras. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 933-947. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_3_a11/