English

Absolute Algebra III - The saturated spectrum

Rings and Algebras 2013-11-01 v1

Abstract

Let B1 denote the set {0,1} with the usual operations except that 1+1=11+1=1, in other words, the smallest characteristic 1 semifield . We compare two possible analogues of the notion of prime ideal for B1--algebras. We then consider the relations between these notions and Deitmar's theory of F1--schemes.

Keywords

Cite

@article{arxiv.1310.8399,
  title  = {Absolute Algebra III - The saturated spectrum},
  author = {Paul Lescot},
  journal= {arXiv preprint arXiv:1310.8399},
  year   = {2013}
}
R2 v1 2026-06-22T01:58:02.507Z