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  • 标题:Rationally Additive Semirings
  • 本地全文:下载
  • 作者:Zoltán Ésik ; Werner Kuich
  • 期刊名称:BRICS Report Series
  • 印刷版ISSN:0909-0878
  • 出版年度:2001
  • 卷号:8
  • 期号:42
  • 出版社:Aarhus University
  • 摘要:We define rationally additive semirings that are a generalization of (omega-)complete and (omega-)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_infty, the semiring of natural numbers equipped with a top element, as the free rationally additive semirings.
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