On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth

Stanisław Kasjan, and Grzegorz Pastuszak. "On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth." Colloquium Mathematicae 136.2 (2014): 179-220. <http://eudml.org/doc/286321>.

@article{StanisławKasjan2014,
abstract = {Assume that k is a field of characteristic different from 2. We show that if Γ is a strongly simply connected k-algebra of non-polynomial growth, then there exists a special family of pointed Γ-modules, called an independent pair of dense chains of pointed modules. Then it follows by a result of Ziegler that Γ admits a super-decomposable pure-injective module if k is a countable field.},
author = {Stanisław Kasjan, Grzegorz Pastuszak},
journal = {Colloquium Mathematicae},
keywords = {super-decomposable pure-injective modules; strongly simply connected algebras; non-polynomial growth algebras; pg-critical algebras; lattices of pointed modules; representation types; finite-dimensional algebras},
language = {eng},
number = {2},
pages = {179-220},
title = {On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth},
url = {http://eudml.org/doc/286321},
volume = {136},
year = {2014},
}

TY - JOUR
AU - Stanisław Kasjan
AU - Grzegorz Pastuszak
TI - On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth
JO - Colloquium Mathematicae
PY - 2014
VL - 136
IS - 2
SP - 179
EP - 220
AB - Assume that k is a field of characteristic different from 2. We show that if Γ is a strongly simply connected k-algebra of non-polynomial growth, then there exists a special family of pointed Γ-modules, called an independent pair of dense chains of pointed modules. Then it follows by a result of Ziegler that Γ admits a super-decomposable pure-injective module if k is a countable field.
LA - eng
KW - super-decomposable pure-injective modules; strongly simply connected algebras; non-polynomial growth algebras; pg-critical algebras; lattices of pointed modules; representation types; finite-dimensional algebras
UR - http://eudml.org/doc/286321
ER -