English

Prime and primary ideals in characteristic one

Probability 2013-11-01 v1 Rings and Algebras

Abstract

We study zero divisors and minimal prime ideals in semirings of characteristic one. Thereafter we find a counterexample to the most obvious version of primary decomposition, but are able to establish a weaker version. Lastly, we study Evans'condition in this context.

Keywords

Cite

@article{arxiv.1310.8400,
  title  = {Prime and primary ideals in characteristic one},
  author = {Paul Lescot},
  journal= {arXiv preprint arXiv:1310.8400},
  year   = {2013}
}
R2 v1 2026-06-22T01:58:02.830Z