Iterated coil enlargements of algebras
Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 251-266
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let Λ be a finite-dimensional, basic and connected algebra over an algebraically closed field, and mod Λ be the category of finitely generated right Λ-modules. We say that Λ has acceptable projectives if the indecomposable projective Λ-modules lie either in a preprojective component without injective modules or in a standard coil, and the standard coils containing projectives are ordered. We prove that for such an algebra Λ the following conditions are equivalent: (a) Λ is tame, (b) the Tits form $q_Λ$ of Λ is weakly non-negative, (c)~Λ is an iterated coil enlargement
@article{10_4064_fm_146_3_251_266,
author = {Bertha Tom\'e},
title = {Iterated coil enlargements of algebras},
journal = {Fundamenta Mathematicae},
pages = {251--266},
publisher = {mathdoc},
volume = {146},
number = {3},
year = {1994},
doi = {10.4064/fm-146-3-251-266},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-146-3-251-266/}
}
Bertha Tomé. Iterated coil enlargements of algebras. Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 251-266. doi: 10.4064/fm-146-3-251-266
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