English

Assassins and torsion functors II

Commutative Algebra 2022-02-08 v2

Abstract

Fairness and centredness of ideals in commutative rings, i.e., the relations between assassins and weak assassins of a module, its small or large torsion submodule, and the corresponding quotients, are studied. General criteria as well as more specific results about idempotent or nil ideals are given, and several examples are presented.

Keywords

Cite

@article{arxiv.2107.03628,
  title  = {Assassins and torsion functors II},
  author = {Fred Rohrer},
  journal= {arXiv preprint arXiv:2107.03628},
  year   = {2022}
}

Comments

To appear in Hiroshima Mathematical Journal