| 关于形式三角矩阵环 |
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| 引用本文： | 杜先能.关于形式三角矩阵环[J].数学年刊A辑(中文版),2006(2). |
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| 作者姓名： | 杜先能 |
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| 作者单位： | 安徽大学数学与计算科学学院 合肥 |
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| 基金项目： | 国家自然科学基金(No．10371101)资助的项目 |
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| 摘 要： | 本文研究形式三角矩阵环 R 的若干新性质,讨论 R-模的伪投射性,给出了形式三角矩阵环 R 是 V-环或半 V-环的充要条件．同时,给出了 R 是 PS-环的条件．
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| 关 键 词： | 形式三角矩阵环 伪投射模 V-环 半V-环 PS-环 |
On Formal Triangular Matrix Rings |
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| DU Xianneng School of Mathematics and Computational Science,Anhui University,Hefei ,China..On Formal Triangular Matrix Rings[J].Chinese Annals of Mathematics,2006(2). |
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| Authors: | DU Xianneng School of Mathematics and Computational Science Anhui University Hefei China |
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| Institution: | DU Xianneng School of Mathematics and Computational Science,Anhui University,Hefei 230039,China. |
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| Abstract: | This paper investigates some new properties of formal triangular matrix rings, and studies the pseudo-projectivity of formal triangular matrix rings.The author determines necessary and sufficient conditions for a forinal triangular matrix ring to be V-ring or semi- V-ring.It is also show that being a PS-ring pass over to formal triangular matrix rings. |
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| Keywords: | Formal triangular matrix ring Pseudo-projective module V-ring Semi-V-ring PS-ring |
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