Geodesic
Bi-ideal-simple semirings
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 391-397.

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Commutative congruence-simple semirings were studied in [2] and [7] (but see also [1], [3]--[6]). The non-commutative case almost (see [8]) escaped notice so far. Whatever, every congruence-simple semiring is bi-ideal-simple and the aim of this very short note is to collect several pieces of information on these semirings.
Classification : 16Y60
Keywords: bi-ideal-simple; semiring; zeropotent 
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Flaška, Václav; Kepka, Tomáš; Šaroch, Jan. Bi-ideal-simple semirings. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 391-397. http://geodesic.mathdoc.fr/item/CMUC_2005__46_3_a1/