Rationally Additive Semirings

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چکیده

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Rationally Additive Semirings

We define rationally additive semirings that are a generalization of (ω)complete and (ω-)continuous semirings. We prove that every rationally additive semiring is an iteration semiring. Moreover, we characterize the semirings of rational power series with coefficients in N∞, the semiring of natural numbers equipped with a top element, as the free rationally additive semirings.

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ژورنال

عنوان ژورنال: BRICS Report Series

سال: 2001

ISSN: 1601-5355,0909-0878

DOI: 10.7146/brics.v8i42.21702