Cotorsion pairs associated with Auslander categories

Details Cotorsion pairs associated with Auslander categories Cotorsion pairs associated with Auslander categories

2006-09-11

arxiv.org/abs/math/0609291v1

Mathematics

Commutative Algebra

15 pages

Scientific paper

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.

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