Abstract
We study zero divisors and minimal prime ideals in semirings, notably those 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.
Citation
Paul Lescot. "Prime and primary ideals in semirings." Osaka J. Math. 52 (3) 721 - 737, July 2015.
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