Iterated coil enlargements of algebras
Tomé, Bertha
Fundamenta Mathematicae, Tome 146 (1995), p. 251-266 / Harvested from The Polish Digital Mathematics Library
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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 qΛ of Λ is weakly non-negative, (c) Λ is an iterated coil enlargement

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:212065 
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     author = {Bertha Tom\'e},
     title = {Iterated coil enlargements of algebras},
     journal = {Fundamenta Mathematicae},
     volume = {146},
     year = {1995},
     pages = {251-266},
     zbl = {0866.16007},
     language = {en},
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Tomé, Bertha. Iterated coil enlargements of algebras. Fundamenta Mathematicae, Tome 146 (1995) pp. 251-266. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv146i3p251bwm/

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