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On prime ideals and prime radicals of \(\Gamma\)-semirings. (English) Zbl 1003.16044

Summary: We introduce the notions of prime ideals and prime radicals of a \(\Gamma\)-semiring and study them via the operator semirings.

MSC:

16Y60 Semirings
16N80 General radicals and associative rings
16D25 Ideals in associative algebras