1Département de Matématiques Université de Sherbrooke Sherbrooke, Québec J1K 2R1, Canada 2Department of Mathematics Syracuse University Syracuse, NY 13244, U.S.A.
Colloquium Mathematicum, Tome 98 (2003) no. 2, pp. 259-275
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.
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
Affiliations des auteurs :
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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title = {On split-by-nilpotent extensions},
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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
