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V´aclav Flaˇska, Tom´aˇs Kepka, Jan ˇSaroch *EE@A=IEFA IAEHECI

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V´ aclav Flaˇska, Tom´ aˇs Kepka, Jan ˇ Saroch Bi-ideal-simple semirings

Comment.Math.Univ.Carolinae 46,3 (2005) 391-397.

Abstract: 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.

Keywords: bi-ideal-simple, semiring, zeropotent AMS Subject Classification: 16Y60

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