Auslander-type conditions and cotorsion pairs

Details Auslander-type conditions and cotorsion pairs Auslander-type conditions and cotorsion pairs

2007-02-16

arxiv.org/abs/math/0702492v2

J. Algebra 318 (2007), no. 1, 93--110

Mathematics

Rings and Algebras

18 pages

Scientific paper

We study the properties of rings satisfying Auslander-type conditions. If an
artin algebra $\Lambda$ satisfies the Auslander condition (that is, $\Lambda$
is an $\infty$-Gorenstein artin algebra), then we construct two kinds of
subcategories which form functorially finite cotorsion pairs.

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