斜Hurwitz级数环的三角矩阵表示

J4 ›› 2011, Vol. 46 ›› Issue (2): 105-109.

斜Hurwitz级数环的三角矩阵表示

焦玉娟,张申贵

西北民族大学计算机科学与信息工程学院, 甘肃兰州 730124

收稿日期:2009-10-12 出版日期:2011-02-16 发布日期:2011-03-30

Triangular matrix representations of rings of skew Hurwitz series

JIAO Yu-juan, ZHANG Shen-gui

College of Science and Information Engineering, Northwest University for Nationalities, Lanzhou 730124, Gansu, China

Received:2009-10-12 Online:2011-02-16 Published:2011-03-30
About author:JIAO Yu-juan (1976- ), Female, Lecturer, major in computational mathematics. Email: jsjyj@xbmu.edu.cn
Supported by:
Supported by the Young Research Foundation of Northwest University for Nationalities(XBMU-2010-BD-6)

摘要/Abstract

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。

关键词: 广义三角矩阵表示; 斜Hurwitz级数环; PWP环; 三角维数

Abstract:

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.

Key words: generalized triangular matrix representation; skew Hurwitz series ring; PWP ring; triangulating dimension

焦玉娟,张申贵. 斜Hurwitz级数环的三角矩阵表示[J]. J4, 2011, 46(2): 105-109.

JIAO Yu-juan, ZHANG Shen-gui. Triangular matrix representations of rings of skew Hurwitz series[J]. J4, 2011, 46(2): 105-109.

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