Strongly simply connected algebras with super-decomposable pure-injective modules

• Grzegorz Pastuszak ^[1]
  1. [1] Polish Academy of Sciences

     Polish Academy of Sciences

     Warszawa, Polonia

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 8 (August 2015), 2015, págs. 3314-3321
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.10.016
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• Resumen

  • Assume that k is an algebraically closed field of characteristic different than 2 and A is a strongly simply connected k-algebra. We show that A is of non-domestic type if and only if the width of the lattice of all pointed A-modules is undefined. Hence it follows by a result of Ziegler that A admits a super-decomposable pure injective module if and only if A is of non-domestic type, if the base field k is countable.