| 斜Hurwitz级数环的三角矩阵表示 |
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| 引用本文： | 焦玉娟,张中贵. 斜Hurwitz级数环的三角矩阵表示[J]. 山东大学学报(自然科学版), 2011, 0(2): 105-109 |
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| 作者姓名： | 焦玉娟 张中贵 |
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| 作者单位： | 西北民族大学计算机科学与信息工程学院,甘肃兰州730124 |
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| 基金项目： | Supported by the Young Research Foundation of Northwest University for Nationalities（XBMU-2010-BD-6） |
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| 摘 要： | 设R是环,H＊R是尺上的斜Hurwitz级数环。在一定条件下,证明了H＊R与尺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。
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| 关 键 词： | 广义三角矩阵表示 斜Hurwitz级数环 PWP环 三角维数 |
Triangular matrix representations of rings of skew Hurwitz series |
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| Affiliation: | JIAO Yu-juan, ZHANG Shen-gui (College of Science and Information Engineering, Northwest University for Nationalities, Lanzhou 730124, Gansu, China) |
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| 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. |
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| Keywords: | generalized triangular matrix representation skew Hurwitz series ring PWP ring triangulating dimension |
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