English

Power series over generalized Krull domains

Commutative Algebra 2008-10-07 v1

Abstract

We resolve an open problem in commutative algebra and Field Arithmetic, posed by Jarden -- Let R be a generalized Krull domain. Is the ring R[[X]] of formal power series over R a generalized Krull domain? We show that the answer is negative.

Cite

@article{arxiv.0810.1028,
  title  = {Power series over generalized Krull domains},
  author = {Elad Paran and Michael Temkin},
  journal= {arXiv preprint arXiv:0810.1028},
  year   = {2008}
}

Comments

7 pages

R2 v1 2026-06-21T11:27:50.736Z