English

On the set of trace ideals of a Noetherian ring

Commutative Algebra 2021-12-09 v1

Abstract

We consider trace ideals in Noetherian rings and focus our attention to one-dimensional analytically irreducible local rings. For such rings we classify those Gorenstein rings which admit only a finite number of trace ideals.

Keywords

Cite

@article{arxiv.2112.04241,
  title  = {On the set of trace ideals of a Noetherian ring},
  author = {Jürgen Herzog and Masoomeh Rahimbeigi},
  journal= {arXiv preprint arXiv:2112.04241},
  year   = {2021}
}