On split-by-nilpotent extensions

Volume 98 / 2003

Ibrahim Assem, Dan Zacharia Colloquium Mathematicum 98 (2003), 259-275 MSC: 16G20, 16G70. DOI: 10.4064/cm98-2-10

Abstract

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.

Authors

  • Ibrahim AssemDépartement de Matématiques
    Université de Sherbrooke
    Sherbrooke, Québec
    J1K 2R1, Canada
    e-mail
  • Dan ZachariaDepartment of Mathematics
    Syracuse University
    Syracuse, NY 13244, U.S.A.
    e-mail

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