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On matrix \(\Gamma\)-semirings. (English) Zbl 1033.16022

Summary: The purpose of this paper is to study some properties of a \(\Gamma\)-semiring \(S\) which are invariants in matrix \(\Gamma_{nm}\)-semiring \(S_{mn}\). We also characterize different types of radicals of a matrix \(\Gamma_{nm}\)-semiring \(S_{mn}\) in terms of the corresponding radicals of the \(\Gamma\)-semiring \(S\).

MSC:

16Y60 Semirings
16S50 Endomorphism rings; matrix rings
16N80 General radicals and associative rings
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