English

Subcategories of extension modules by Serre subcategories

Commutative Algebra 2011-03-09 v2

Abstract

In this paper, we consider subcategories consisting of the extensions of modules in two given Serre subcategories to find a method of constructing Serre subcategories of the category of modules. We shall give a criterion for this subcategory to be a Serre subcategory.

Cite

@article{arxiv.1011.0376,
  title  = {Subcategories of extension modules by Serre subcategories},
  author = {Takeshi Yoshizawa},
  journal= {arXiv preprint arXiv:1011.0376},
  year   = {2011}
}

Comments

9 pages, minor changes, title is revised, to appear in Proc. Amer. Math. Soc

R2 v1 2026-06-21T16:37:12.423Z