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Tilting via torsion pairs and almost hereditary noetherian rings
Authors:Jan &Scaron  ?oví  ?ek,Jan Trlifaj
Affiliation:
  • a Charles University, Faculty of Mathematics and Physics, Department of Algebra, Sokolovská 83, 186 75 Prague 8, Czech Republic
  • b Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, 40225 Düsseldorf, Germany
  • Abstract:We generalize the tilting process by Happel, Reiten and Smalø to the setting of finitely presented modules over right coherent rings. Moreover, we extend the characterization of quasi-tilted artin algebras as the almost hereditary ones to all right noetherian rings.
    Keywords:Primary, 16D90, 18E30   Secondary, 16E35, 16E60, 16G10, 18E40
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