On the representation type of certain trivial extensions

• Novoa Bustos, Cristián ; Peña, José Antonio de la ^[1]
  1. [1] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 20, Nº. 3, 2001, págs. 323-337
• Idioma: inglés
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• Resumen

  • Let A ∼= kQ/I be a basic and connected finite dimension algebra over closed field k. In this note show that in case B = A[M] is a tame one-point extension of a tame concealed algebra A by an indecomposable module M, then the trivial extension T(B) = B ∝ DB is tame if and only if the module M is regular.