Geodesic
On split-by-nilpotent extensions
Ibrahim Assem1 ; Dan Zacharia2
1 Département de Matématiques Université de Sherbrooke Sherbrooke, Québec J1K 2R1, Canada
2 Department of Mathematics Syracuse University Syracuse, NY 13244, U.S.A.
Colloquium Mathematicum, Tome 98 (2003) no. 2, pp. 259-275.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $A$ and $R$ be two artin algebras such that $R$ is a split extension of $A$ by a nilpotent ideal. We prove that if $R$ is quasi-tilted, or tame and tilted, then so is $A$. Moreover, generalizations of these properties, such as laura and shod, are also inherited. We also study the relationship between the tilting $R$-modules and the tilting $A$-modules.
DOI : 10.4064/cm98-2-10
Keywords: artin algebras split extension nilpotent ideal prove quasi tilted tame tilted moreover generalizations these properties laura shod inherited study relationship between tilting r modules tilting a modules

Ibrahim Assem 1 ; Dan Zacharia 2

1 Département de Matématiques Université de Sherbrooke Sherbrooke, Québec J1K 2R1, Canada
2 Department of Mathematics Syracuse University Syracuse, NY 13244, U.S.A. 
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Ibrahim Assem; Dan Zacharia. On split-by-nilpotent extensions. Colloquium Mathematicum, Tome 98 (2003) no. 2, pp. 259-275. doi : 10.4064/cm98-2-10. http://geodesic.mathdoc.fr/articles/10.4064/cm98-2-10/

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