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arXiv 2010-11-07 0 views

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

Yoshizawa, Takeshi

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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.

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