On the ring of Hurwitz series

被引：81
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.
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页码：1845 / 1859
页数：15
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