Tilting via torsion pairs and almost hereditary noetherian rings |
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Authors: | Jan &Scaron ?oví ?ek,Jan Trlifaj |
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Affiliation: | a Charles University, Faculty of Mathematics and Physics, Department of Algebra, Sokolovská 83, 186 75 Prague 8, Czech Republicb Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, 40225 Düsseldorf, Germany |
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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. |
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Keywords: | Primary, 16D90, 18E30 Secondary, 16E35, 16E60, 16G10, 18E40 |
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