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• W2258090331 abstract "A semiring $S$ is said to be a $t$-$k$-simple semiring if it has no non-trivial proper left $k$-ideal and no non-trivial proper right $k$-ideal. We introduce the notion of $t$-$k$-simple semirings and characterize the semirings in $mathbb{SL^{+}}$, the variety of all semirings with a semilattice additive reduct, which are distributive lattices of $t$-$k$-simple subsemirings. A semiring $S$ is a distributive lattice of $t$-$k$-simple subsemirings if and only if every $k$-bi-ideal in $S$ is completely semiprime $k$-ideal. Also the semirings for which every $k$-bi-ideal is completely prime has been characterized." @default.
• W2258090331 created "2016-06-24" @default.
• W2258090331 creator A5026797240 @default.
• W2258090331 creator A5067852185 @default.
• W2258090331 date "2015-12-01" @default.
• W2258090331 modified "2023-09-28" @default.
• W2258090331 title "Semirings which are distributive lattices of $t$-$k$-simple semirings" @default.
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• W2258090331 doi "https://doi.org/10.1515/tmj-2015-0018" @default.
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