Left sections and the left part of an artin algebra
Colloquium Mathematicae (2009)
- Volume: 116, Issue: 2, page 273-300
- ISSN: 0010-1354
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topIbrahim Assem. "Left sections and the left part of an artin algebra." Colloquium Mathematicae 116.2 (2009): 273-300. <http://eudml.org/doc/284066>.
@article{IbrahimAssem2009,
abstract = {We define a notion of left section in an Auslander-Reiten component, by weakening one of the axioms for sections. We derive a generalisation of the Liu-Skowroński criterion for tilted algebras, then apply our results to describe the Auslander-Reiten components lying in the left part of an artin algebra.},
author = {Ibrahim Assem},
journal = {Colloquium Mathematicae},
keywords = {Artin algebras; left sections; tilted algebras; Auslander-Reiten quivers; Auslander-Reiten components; supported algebras},
language = {eng},
number = {2},
pages = {273-300},
title = {Left sections and the left part of an artin algebra},
url = {http://eudml.org/doc/284066},
volume = {116},
year = {2009},
}
TY - JOUR
AU - Ibrahim Assem
TI - Left sections and the left part of an artin algebra
JO - Colloquium Mathematicae
PY - 2009
VL - 116
IS - 2
SP - 273
EP - 300
AB - We define a notion of left section in an Auslander-Reiten component, by weakening one of the axioms for sections. We derive a generalisation of the Liu-Skowroński criterion for tilted algebras, then apply our results to describe the Auslander-Reiten components lying in the left part of an artin algebra.
LA - eng
KW - Artin algebras; left sections; tilted algebras; Auslander-Reiten quivers; Auslander-Reiten components; supported algebras
UR - http://eudml.org/doc/284066
ER -
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