On two tame algebras with super-decomposable pure-injective modules

Stanisław Kasjan, and Grzegorz Pastuszak. "On two tame algebras with super-decomposable pure-injective modules." Colloquium Mathematicae 123.2 (2011): 249-276. <http://eudml.org/doc/284241>.

@article{StanisławKasjan2011,
abstract = {Let k be a field of characteristic different from 2. We consider two important tame non-polynomial growth algebras: the incidence k-algebra of the garland 𝒢₃ of length 3 and the incidence k-algebra of the enlargement of the Nazarova-Zavadskij poset 𝒩 𝓩 by a greatest element. We show that if Λ is one of these algebras, then there exists a special family of pointed Λ-modules, called an independent pair of dense chains of pointed modules. Hence, by a result of Ziegler, Λ admits a super-decomposable pure-injective module if k is a countable field.},
author = {Stanisław Kasjan, Grzegorz Pastuszak},
journal = {Colloquium Mathematicae},
keywords = {incidence algebras; super-decomposable pure injective modules; non-polynomial growth algebras; Galois coverings; Nazarova-Zavadskij poset; tame algebras},
language = {eng},
number = {2},
pages = {249-276},
title = {On two tame algebras with super-decomposable pure-injective modules},
url = {http://eudml.org/doc/284241},
volume = {123},
year = {2011},
}

TY - JOUR
AU - Stanisław Kasjan
AU - Grzegorz Pastuszak
TI - On two tame algebras with super-decomposable pure-injective modules
JO - Colloquium Mathematicae
PY - 2011
VL - 123
IS - 2
SP - 249
EP - 276
AB - Let k be a field of characteristic different from 2. We consider two important tame non-polynomial growth algebras: the incidence k-algebra of the garland 𝒢₃ of length 3 and the incidence k-algebra of the enlargement of the Nazarova-Zavadskij poset 𝒩 𝓩 by a greatest element. We show that if Λ is one of these algebras, then there exists a special family of pointed Λ-modules, called an independent pair of dense chains of pointed modules. Hence, by a result of Ziegler, Λ admits a super-decomposable pure-injective module if k is a countable field.
LA - eng
KW - incidence algebras; super-decomposable pure injective modules; non-polynomial growth algebras; Galois coverings; Nazarova-Zavadskij poset; tame algebras
UR - http://eudml.org/doc/284241
ER -