Ideal-simple semirings. I.
Tomáš Kepka, Petr Němec (2012)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Ideal-simple semirings. II.”
Ideal-simple semirings. I.
A note on finitely generated ideal-simple commutative semirings
Vítězslav Kala, Tomáš Kepka (2008)
Commentationes Mathematicae Universitatis Carolinae
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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.
Bi-ideal-simple semirings
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.