摘要
设R是环,H*R是R上的斜Hurwitz级数环。在一定条件下,证明了H*R与R具有相同的三角维数。此外,如果R是PWP环并且(R,+)是挠自由的,那么H*R是PWP环。
Let R be a ring and H ＊ R the ring of skew Hurwitz series over R. It is shown that under some additional conditions, H ＊ R has the same triangulating dimension as R. Furthermore, if R is a PWP ring and （R, ＋ ） is torsion-free, then so is H ＊ R.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2011年第2期105-109,共5页
Journal of Shandong University(Natural Science)
基金
Supported by the Young Research Foundation of Northwest University for Nationalities(XBMU-2010-BD-6)
关键词
广义三角矩阵表示
斜Hurwitz级数环
PWP环
三角维数
generalized triangular matrix representation
skew Hurwitz series ring
PWP ring
triangulating dimension
