Endomorphism rings of regular modules over wild hereditary algebras

Otto Kerner. "Endomorphism rings of regular modules over wild hereditary algebras." Colloquium Mathematicae 97.2 (2003): 207-220. <http://eudml.org/doc/284491>.

@article{OttoKerner2003,
abstract = {Let H be a connected wild hereditary path algebra. We prove that if Z is a quasi-simple regular brick, and [r]Z indecomposable regular of quasi-length r and with quasi-top Z, then $rad^\{r\}End_\{H\}([r]Z) = 0$.},
author = {Otto Kerner},
journal = {Colloquium Mathematicae},
keywords = {wild hereditary algebras; endomorphism algebras; regular indecomposable modules; connected hereditary algebras; regular bricks},
language = {eng},
number = {2},
pages = {207-220},
title = {Endomorphism rings of regular modules over wild hereditary algebras},
url = {http://eudml.org/doc/284491},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Otto Kerner
TI - Endomorphism rings of regular modules over wild hereditary algebras
JO - Colloquium Mathematicae
PY - 2003
VL - 97
IS - 2
SP - 207
EP - 220
AB - Let H be a connected wild hereditary path algebra. We prove that if Z is a quasi-simple regular brick, and [r]Z indecomposable regular of quasi-length r and with quasi-top Z, then $rad^{r}End_{H}([r]Z) = 0$.
LA - eng
KW - wild hereditary algebras; endomorphism algebras; regular indecomposable modules; connected hereditary algebras; regular bricks
UR - http://eudml.org/doc/284491
ER -