Remarks on subcategories of artinian modules
Commutative Algebra
2011-10-12 v1
Abstract
We study two subcategories of the category of artinian modules, a wide subcategory and a Serre subcategory. We prove that all wide subcategories of artinian modules are Serre subcategories. We also provide the bijection between the set of Serre subcategories and the set of specialization closed subsets of the set of closed prime ideals of some completed ring.
Cite
@article{arxiv.1110.2277,
title = {Remarks on subcategories of artinian modules},
author = {Naoya Hiramatsu},
journal= {arXiv preprint arXiv:1110.2277},
year = {2011}
}
Comments
14 pages