| 正则WB-环 |
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| 引用本文： | 陈焕艮.正则WB-环[J].数学学报,2006,49(6):1311-132. |
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| 作者姓名： | 陈焕艮 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院,长沙410081 |
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| 摘 要： | 引进了WB-环,研究了正则环为WB-环的等价刻画．如果A是正则环R上的有限生成投射右模而且M_n(R)都是WB-环(n∈N),若B,C是任何右R-模而且A⊕B≌A⊕C,证明了存在正交理想I,J,使得B/BI■~⊕C/CI且C/CJ■~⊕B/BJ．这也给出了QB-环上新的模比较性质．
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| 关 键 词： | 正则环 WB-环 模 |
| 文章编号： | 0583-1431（2006）06-1311-10 |
| 收稿时间： | 2005-04-03 |
| 修稿时间： | 2005-04-032005-09-15 |
On Regular WB-Rings |
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| Huan Yin CHEN.On Regular WB-Rings[J].Acta Mathematica Sinica,2006,49(6):1311-132. |
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| Authors: | Huan Yin CHEN |
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| Institution: | College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P. R. China |
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| Abstract: | We introduce the concept of WB-rings and investigate the necessary and sufficient conditions under which a regular ring is a WB-ring.Let A be a finitely generated projective right module over a regular ring R.Suppose that M_n(R) is a WB-ring for all n∈N.If B and C are any right R-modules such that A■B≌A■C, we prove that there exist orthogonal ideals I and J such that B/BI≤■C/CI and C/CJ≤■B/BJ.This also gives some new comparable properties of modules over QB-rings. |
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| Keywords: | regular ring WB-ring module |
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