On split-by-nilpotent extensions

Ibrahim Assem, and Dan Zacharia. "On split-by-nilpotent extensions." Colloquium Mathematicae 98.2 (2003): 259-275. <http://eudml.org/doc/285195>.

@article{IbrahimAssem2003,
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.},
author = {Ibrahim Assem, Dan Zacharia},
journal = {Colloquium Mathematicae},
keywords = {split algebras; quasi-tilted algebras; tilted algebras; shod algebras; tame representation type; Artin algebras},
language = {eng},
number = {2},
pages = {259-275},
title = {On split-by-nilpotent extensions},
url = {http://eudml.org/doc/285195},
volume = {98},
year = {2003},
}

TY - JOUR
AU - Ibrahim Assem
AU - Dan Zacharia
TI - On split-by-nilpotent extensions
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 2
SP - 259
EP - 275
AB - 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.
LA - eng
KW - split algebras; quasi-tilted algebras; tilted algebras; shod algebras; tame representation type; Artin algebras
UR - http://eudml.org/doc/285195
ER -