Geodesic
On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth
Stanisław Kasjan 1   ; Grzegorz Pastuszak 2
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University 87-100 Toruń, Poland
2 Center for Theoretical Physics of the Polish Academy of Sciences Al. Lotników 32/46 02-668 Warszawa, Poland
Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 179-220 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Assume that $k$ is a field of characteristic different from 2. We show that if $\varGamma $ is a strongly simply connected $k$-algebra of non-polynomial growth, then there exists a special family of pointed $\varGamma $-modules, called an independent pair of dense chains of pointed modules. Then it follows by a result of Ziegler that $\varGamma $ admits a super-decomposable pure-injective module if $k$ is a countable field.
DOI : 10.4064/cm136-2-3
Keywords: assume field characteristic different nbsp vargamma strongly simply connected k algebra non polynomial growth there exists special family pointed vargamma modules called independent pair dense chains pointed modules follows result ziegler vargamma admits super decomposable pure injective module countable field

Stanisław Kasjan  1   ; Grzegorz Pastuszak  2

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University 87-100 Toruń, Poland
2 Center for Theoretical Physics of the Polish Academy of Sciences Al. Lotników 32/46 02-668 Warszawa, Poland 
@article{10_4064_cm136_2_3,
     author = {Stanis{\l}aw Kasjan and Grzegorz Pastuszak},
     title = {On the existence of super-decomposable
 pure-injective modules over
 strongly simply connected algebras
 of non-polynomial growth},
     journal = {Colloquium Mathematicum},
     pages = {179--220},
     year = {2014},
     volume = {136},
     number = {2},
     doi = {10.4064/cm136-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm136-2-3/}
}
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 Mathematicum
PY  - 2014
SP  - 179
EP  - 220
VL  - 136
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm136-2-3/
DO  - 10.4064/cm136-2-3
LA  - en
ID  - 10_4064_cm136_2_3
ER  - 
%0 Journal Article
%A Stanisław Kasjan
%A Grzegorz Pastuszak
%T On the existence of super-decomposable
 pure-injective modules over
 strongly simply connected algebras
 of non-polynomial growth
%J Colloquium Mathematicum
%D 2014
%P 179-220
%V 136
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm136-2-3/
%R 10.4064/cm136-2-3
%G en
%F 10_4064_cm136_2_3
Stanisław Kasjan; Grzegorz Pastuszak. On the existence of super-decomposable
 pure-injective modules over
 strongly simply connected algebras
 of non-polynomial growth. Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 179-220. doi: 10.4064/cm136-2-3

Cité par Sources :