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 数学进展 - 2018, Vol. 47(1): 155-159
 研究论文
 关于三角范畴中由对象决定的态射的一个注记 A Note on Morphisms Determined by Objects in Triangulated Categories 徐进德, 欧阳柏玉* XU Jinde, OUYANG Baiyu 湖南师范大学数学与计算机科学学院, 长沙, 湖南, 410081 College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan, 410081, P. R. China 出版日期: 2018-01-25 2018, Vol. 47(1): 155-159 DOI: 10.11845/sxjz.2016037b
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Abstract：The notion of morphisms determined by an object was introduced by Auslander.Krause proved that a determiner for any morphism $f$ exists in a Hom-finite Krull-Schmidt $R$-linear triangulated category $\mathcal T$ having a Serre functor $S$.In this paper, we give the form of the minimal determiner $D(f)$ for any morphism $f$ in $\mathcal T$, which is a complement to the result of Krause.
Key wordsmorphisms determined by object    triangulated category
 PACS: O154.1

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 [1] 陈新红,卢明. 高维丛范畴中的丛倾斜对象[J]. 数学进展, 2016, 45(5): 641-651.
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