On the ring of Hurwitz series

被引：80

作者：

Keigher, WF

机构：

[1] Department of Mathematics and Computer Science, Rutgers University, Newark

来源：

COMMUNICATIONS IN ALGEBRA | 1997年 / 25卷 / 06期

关键词：

D O I：

10.1080/00927879708825957

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1845 / 1859

页数：15

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