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

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

2010-11-07

arxiv.org/abs/1011.1663v2

Mathematics

Commutative Algebra

5 pages. Title is corrected

Scientific paper

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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