A new characterization of Auslander algebras

Let Λ be a finite dimensional Auslander algebra. For a Λ -module N , we prove that the projective dimension of N is at most one if and only if the projective dimension of its socle soc N is at most one. As an application, we give a new characterization of Auslander algebras Λ and prove that a finite...
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Author:

Li, Shen [VerfasserIn]

Zhang, Shunhua

Format:

Article

Language:

English

Published:

2017

Rights:

Nutzungsrecht: © 2017, World Scientific Publishing Company

Containing Work:

Enthalten in: Journal of algebra and its applications - Singapore [u.a.] : World Scientific, 2002, 16(2017), 11

Containing Work:

volume:16 ; year:2017 ; number:11

Links:

Volltext

DOI / URN:

10.1142/S021949881750219X

Catalog id:

OLC1999764749

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