Geodesic
A note on finitely generated ideal-simple commutative semirings
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 1-9 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Many infinite finitely generated ideal-simple commutative semirings are additively idempotent. It is not clear whether this is true in general. However, to solve the problem, one can restrict oneself only to parasemifields.
Many infinite finitely generated ideal-simple commutative semirings are additively idempotent. It is not clear whether this is true in general. However, to solve the problem, one can restrict oneself only to parasemifields.
Classification : 16Y60
Keywords: semiring; ideal; simple 
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Kala, Vítězslav; Kepka, Tomáš. A note on finitely generated ideal-simple commutative semirings. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 1-9. http://geodesic.mathdoc.fr/item/CMUC_2008_49_1_a0/