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- W4299509252 abstract "We study some properties and perspectives of the Hurwitz series ring $H_R[[t]]$, for a commutative ring with identity $R$. Specifically, we provide a closed form for the invertible elements by means of the complete ordinary Bell polynomials, we highlight some connections with well--known transforms of sequences, and we see that the Stirling transforms are automorphisms of $H_R[[t]]$. Moreover, we focus the attention on some special subgroups studying their properties. Finally, we introduce a new transform of sequences that allows to see one of this subgroup as an ultrametric dynamic space." @default.
- W4299509252 created "2022-10-02" @default.
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- W4299509252 date "2017-10-16" @default.
- W4299509252 modified "2023-10-16" @default.
- W4299509252 title "Some combinatorial properties of the Hurwitz series ring" @default.
- W4299509252 doi "https://doi.org/10.48550/arxiv.1710.05665" @default.
- W4299509252 hasPublicationYear "2017" @default.
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