English

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

Commutative Algebra 2010-11-10 v2

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.

Cite

@article{arxiv.1011.1663,
  title  = {An example of Melkersson subcategory which is not closed under injective hulls},
  author = {Takeshi Yoshizawa},
  journal= {arXiv preprint arXiv:1011.1663},
  year   = {2010}
}

Comments

5 pages. Title is corrected

R2 v1 2026-06-21T16:40:13.105Z