Reduced torsion pairs

• Otto Kerner ^[1]
  1. [1] Heinrich-Heine-Universität, Germany
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 2 (February 2016), 2016, págs. 802-809
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.07.017
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• Resumen

  • Let H be a finite dimensional hereditary algebra of infinite representation type over an algebraically closed field. A torsion pair (T,F) in H-mod is called reduced if there are no indecomposable Ext-projective modules in T as well as no nonzero Ext-injective modules in F. An anti-chain of reduced torsion pairs of width card K will be constructed.