English

A classification of nullity classes in abelian categories

Category Theory 2016-11-23 v3

Abstract

We give a classification of nullity classes (or torsion classes) in an abelian category by forming a spectrum of equivalence classes of premonoform objects. This is parallel to Kanda's classification of Serre subcategories.

Keywords

Cite

@article{arxiv.1610.09528,
  title  = {A classification of nullity classes in abelian categories},
  author = {Yong Liu and Donald Stanley},
  journal= {arXiv preprint arXiv:1610.09528},
  year   = {2016}
}
R2 v1 2026-06-22T16:36:17.761Z