Geodesic
Algebras standardly stratified in all orders
Fidel Hernández Advíncula1 ; Eduardo do Nascimento Marcos2
1 Departamento de Ecuaciones Diferenciales Facultad de Matemática y Computación Universidad de La Habana, Cuba
2 Departamento de Matemática Universidade de São Paulo Caixa Postal 66.281 São Paulo, SP, 05315–970, Brasil
Colloquium Mathematicum, Tome 107 (2007) no. 1, pp. 81-87 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The aim of this work is to characterize the algebras which are standardly stratified with respect to any order of the simple modules. We show that such algebras are exactly the algebras with all idempotent ideals projective. We also deduce as a corollary a characterization of hereditary algebras, originally due to Dlab and Ringel.
DOI : 10.4064/cm107-1-8
Keywords: work characterize algebras which standardly stratified respect order simple modules algebras exactly algebras idempotent ideals projective deduce corollary characterization hereditary algebras originally due dlab ringel

Fidel Hernández Advíncula 1 ; Eduardo do Nascimento Marcos 2

1 Departamento de Ecuaciones Diferenciales Facultad de Matemática y Computación Universidad de La Habana, Cuba
2 Departamento de Matemática Universidade de São Paulo Caixa Postal 66.281 São Paulo, SP, 05315–970, Brasil 
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Fidel Hernández Advíncula; Eduardo do Nascimento Marcos. Algebras standardly stratified in all orders. Colloquium Mathematicum, Tome 107 (2007) no. 1, pp. 81-87. doi: 10.4064/cm107-1-8

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