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- W4324297254 abstract "It is well known that the full matrix ring over a skew-field is a simple ring. We generalize this theorem to the case of semirings. We characterize the case when the matrix semiring $mathbf{M}_n(S)$, of all $ntimes n$ matrices over a semiring $S$, is congruence-simple, provided that either $S$ has a multiplicatively absorbing element or $S$ is commutative and additively cancellative." @default.
- W4324297254 created "2023-03-16" @default.
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- W4324297254 date "2023-03-13" @default.
- W4324297254 modified "2023-10-16" @default.
- W4324297254 title "Congruence-simple matrix semirings" @default.
- W4324297254 doi "https://doi.org/10.48550/arxiv.2303.06921" @default.
- W4324297254 hasPublicationYear "2023" @default.
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