Semirings with descending chain condition and without nilpotent elements
James R. Mosher (1971)
Compositio Mathematica
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James R. Mosher (1971)
Compositio Mathematica
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Tomáš Kepka, Petr Němec (2012)
Acta Universitatis Carolinae. Mathematica et Physica
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Václav Flaška, Tomáš Kepka, Jan Šaroch (2005)
Commentationes Mathematicae Universitatis Carolinae
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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.