Cotorsion pairs associated with Auslander categories

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Cotorsion Pairs Associated with Auslander Categories

We prove that the Auslander class determined by a semidualizing module is the left half of a perfect cotorsion pair. We also prove that the Bass class determined by a semidualizing module is preenveloping. 0. Introduction The notion of semidualizing modules over commutative noetherian rings goes back to Foxby [11] and Golod [13]. Christensen [3] extended this notion to semidualizing complexes. ...

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ژورنال

عنوان ژورنال: Israel Journal of Mathematics

سال: 2009

ISSN: 0021-2172,1565-8511

DOI: 10.1007/s11856-009-0113-y