English

Flat maps to and from Noetherian rings

Commutative Algebra 2017-11-15 v1

Abstract

We investigate flat maps where the source or target is a Noetherian ring, giving necessary and/or sufficient conditions on a ring for such maps to exist. Along the way, we develop some general facts about flat ring maps, and exhibit many examples, including a new class of zero-dimensional local rings.

Keywords

Cite

@article{arxiv.1711.04958,
  title  = {Flat maps to and from Noetherian rings},
  author = {Justin Chen},
  journal= {arXiv preprint arXiv:1711.04958},
  year   = {2017}
}

Comments

4 pages

R2 v1 2026-06-22T22:45:09.631Z