Ideal-simple semirings. III.

Tomáš Kepka; Petr Němec

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Displaying similar documents to “Ideal-simple semirings. III.”

$B^{}$ -ideals and $Q^{}$ -ideals in non-commutative semirings

A. Almeida Costa, Margarita Ramalho (1978)

Mathematica Slovaca

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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.