%0 Journal Article %T Prime and primary ideals in characteristic one %A Paul Lescot %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1310.8400v1