On the ring of hurwitz series

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Abstract

This paper introduces the ring of Hurwitz series over a commutative ring with identity, and examines its structure and applications, especially to the study of differential algebra. In particular, we see that rings of Hurwitz series bear a resemblance to rings of formal power series, and that for rings of positive characteristic, the structure of the ring of Hurwitz series closely mirrors that of the ground ring.

Original languageEnglish (US)
Pages (from-to)1845-1859
Number of pages15
JournalCommunications in Algebra
Volume25
Issue number6
DOIs
StatePublished - 1997

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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