Prime and primary ideals in semirings

Paul Lescot

doi:ojm/1437137615

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Home > Journals > Osaka J. Math. > Volume 52 > Issue 3 > Article

July 2015 Prime and primary ideals in semirings

Paul Lescot

Osaka J. Math. 52(3): 721-737 (July 2015).

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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.