Geodesic
Indecomposable modules in coils
Piotr Malicki 1   ; Andrzej Skowro/nski 1   ; Bertha Tomé 2
1 Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
2 Facultad de Ciencias Departamento de Matemáticas Universidad Nacional Autónoma de México México 04510 D.F., Mexico
Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 67-130 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We describe the structure of all indecomposable modules in standard coils of the Auslander–Reiten quivers of finite-dimensional algebras over an algebraically closed field. We prove that the supports of such modules are obtained from algebras with sincere standard stable tubes by adding braids of two linear quivers. As an application we obtain a complete classification of non-directing indecomposable modules over all strongly simply connected algebras of polynomial growth.
DOI : 10.4064/cm93-1-7
Mots-clés : describe structure indecomposable modules standard coils auslander reiten quivers finite dimensional algebras algebraically closed field prove supports modules obtained algebras sincere standard stable tubes adding braids linear quivers application obtain complete classification non directing indecomposable modules strongly simply connected algebras polynomial growth

Piotr Malicki  1   ; Andrzej Skowro/nski  1   ; Bertha Tomé  2

1 Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
2 Facultad de Ciencias Departamento de Matemáticas Universidad Nacional Autónoma de México México 04510 D.F., Mexico 
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Piotr Malicki; Andrzej Skowro/nski; Bertha Tomé. Indecomposable modules in coils. Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 67-130. doi: 10.4064/cm93-1-7

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