A new characterization of Auslander algebras, Journal of Algebra and its Application
A new characterization of Auslander algebras, Journal of Algebra and its Application
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DOI：
10.1142/s021949881750219x
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
张顺华
中科院分区：
文献类型：
--
作者：
李珅;张顺华
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 socN is at most one. As an application, we give a new characterization of.Auslander algebras Λ and prove that a finite dimensional algebra Λ is an Auslander.algebra provided its global dimension gl.dΛ ≤ 2 and an injective Λ-module is projective.if and only if the projective dimension of its socle is at most one.
