Geodesic
An isomorphism problem for algebras defined by some quivers and nonadmissible ideals
Stanis/law Kasjan 1   ; Maja S/ed/lak 1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 112 (2008) no. 1, pp. 1-21 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm112-1-1
Keywords: given quiver field necessarily admissible ideals path algebra study problem factor algebras isomorphic sufficient conditions given tree extension cycle

Stanis/law Kasjan  1   ; Maja S/ed/lak  1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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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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