Recently, Araya, Celikbas, Sadeghi, and Takahashi proved a theorem about the vanishing of self extensions of finitely generated modules over commutative Noetherian rings. The aim of this paper is to obtain extensions of their result over algebras.

中文翻译：

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关于代数上自扩展的消失

最近，Araya、Celikbas、Sadeghi 和 Takahashi 证明了一个关于有限生成模块在可交换 Noetherian 环上的自扩展消失的定理。本文的目的是获得他们的结果在代数上的扩展。