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On commutative weak inductive *-semirings. (Chinese. English summary) Zbl 1274.16068

Summary: The semiring \(S^{2\times 2}\) of \(2\times 2\) matrices over a commutative weak inductive \(^*\)-semiring \(S\) is studied. It is shown that if \(S^{2\times 2}\) is a \(\lambda\)-semiring then it is a weak inductive \(^*\)-semiring again. Then the least simultaneous fixed points of two binary affine maps over \(S\) are given.

MSC:

16Y60 Semirings
16S50 Endomorphism rings; matrix rings
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