On split-by-nilpotent extensions

• Autorzy: Ibrahim Assem , Dan Zacharia
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 98
• Numer: 2
• Strony: 259-275

Daty

wydano

2003

Twórcy

autor

Ibrahim Assem

• Département de Matématiques, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1, Canada

autor

Dan Zacharia

• Department of Mathematics, Syracuse University, Syracuse, NY 13244, U.S.A.

Identyfikatory

DOI

10.4064/cm98-2-10