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Gorenstein tilting pair
Communications in Algebra ( IF 0.7 ) Pub Date : 2020-04-22 , DOI: 10.1080/00927872.2020.1749646
Liu Dajun 1 , Jiaqun Wei 1
Affiliation  

Abstract Let A be an n-Gorenstein ring. Employing the theory developed by Enochs on the existence of Gorenstein preenvelopes and precovers, we introduce the concept of Gorenstein tilting pair. Moreover, we give a simple characterization on Gorenstein tilting pair, which shows that Gorenstein cotilting and tilting modules are special examples of Gorenstein tilting pair.

中文翻译:

Gorenstein 倾斜副

摘要 设 A 是一个 n-Gorenstein 环。利用 Enochs 关于 Gorenstein preenvelopes 和 precovers 存在的理论,我们引入了 Gorenstein 倾斜对的概念。此外,我们对 Gorenstein 倾斜对进行了简单的刻画,表明 Gorenstein cotilting 和倾斜模块是 Gorenstein 倾斜对的特例。
更新日期:2020-04-22
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