具有性质$(G_k)$的Wakamatsu倾斜模

Wakamatsu Tilting Modules with Property ($G_k$)

中文关键词:  Wakamatsu 倾斜模  正变有限子范畴  反变有限子范畴.

英文关键词:Wakamatsu tilting modules  covariantly finite subcategories  contravariantly finite subcategories.

中文摘要:

      本文引进了具有性质~$(G_k)$ 的~Wakamatsu倾斜模的概念, 并用同调有限子范畴的性质对其进行了刻画. 所得结果推广了黄兆泳在文献~[1]和[11] 中的工作.

英文摘要:

      This paper introduces the notion of Wakamatsu tilting modules with the property ($G_k$) and then characterizes it by the properties of homologically finite subcategories. The obtained results generalize the work of HUANG Zhao-yong in [1] and [11].