arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1011.1663math.AC
收藏

Melkersson子范畴在内射壳下不闭的一个例子

An example of Melkersson subcategory which is not closed under injective hulls

Takeshi Yoshizawa

摘要:

Melkersson子范畴是一个特殊的Serre子范畴。证明了在内射壳下闭的Serre子范畴是Melkersson子范畴。然而,这是一个悬而未决的问题是否相反的含义成立。在本文中,我们将表明,这个问题一般有一个否定的答案。

英文摘要:

The Melkersson subcategory is a special Serre subcategory. It was proved that a Serre subcategory which is closed under injective hulls is a Melkersson subcategory. However, it has been an open question whether the contrary implication holds. In this paper, we shall show that this question has a negative answer in general.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑