An isomorphism problem for algebras defined
by some quivers and nonadmissible ideals
Colloquium Mathematicum, Tome 112 (2008) no. 1, pp. 1-21
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Given a quiver $Q$, a field $K$ and two (not necessarily admissible) ideals $I$, $I'$ in the path algebra $KQ$, we study the problem when the factor algebras $KQ/I$ and $KQ/I'$ of $KQ$ are isomorphic. Sufficient conditions are given in case $Q$ is a tree extension of a cycle.
Keywords:
given quiver field necessarily admissible ideals path algebra study problem factor algebras isomorphic sufficient conditions given tree extension cycle
Affiliations des auteurs :
Stanis/law Kasjan 1 ; Maja S/ed/lak 1
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author = {Stanis/law Kasjan and Maja S/ed/lak},
title = {An isomorphism problem for algebras defined
by some quivers and nonadmissible ideals},
journal = {Colloquium Mathematicum},
pages = {1--21},
publisher = {mathdoc},
volume = {112},
number = {1},
year = {2008},
doi = {10.4064/cm112-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm112-1-1/}
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Stanis/law Kasjan; Maja S/ed/lak. An isomorphism problem for algebras defined by some quivers and nonadmissible ideals. Colloquium Mathematicum, Tome 112 (2008) no. 1, pp. 1-21. doi: 10.4064/cm112-1-1
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