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

Takeshi Yoshizawa

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arXiv · 1011.1663

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

Takeshi Yoshizawa

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Abstract

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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Takeshi Yoshizawa. 2010-11-07. An example of Melkersson subcategory which is not closed under injective hulls. https://arxiv.org/abs/1011.1663

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