A class of inherently nonfinitely based semirings
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We give a sufficient condition which ensures that a semiring with an idempotent addition is inherently nonfinitely based. This enables us to provide a number of small and natural examples of nonfinitely based semirings, including semirings of binary relations on a finite set.
2000 Mathematics Subject Classification:16Y60 08B05 68R15
Keywords and phrases:Identities (inherently) nonfinitely based semiring
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