| 关于GNPP环 |
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| 引用本文： | 赵玉娥,杜先能.关于GNPP环[J].安徽师范大学学报(自然科学版),2009,32(3):222-224,229. |
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| 作者姓名： | 赵玉娥 杜先能 |
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| 作者单位： | 青岛大学,数学科学学院,山东,青岛,266071;安徽大学,数学与计算科学学院,安徽,合肥,230039 |
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| 基金项目： | Supported by the Research Fund of QingDao Univrsity. |
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| 摘 要： | 在本文中,我们定义GNPP环如下,一个环R叫做GNPP环,如果对任意的0≠a∈N(R),都存在一个正整数n使得an≠0并且Ran是投射的左R-模.我们给出了GNPP环和π-N-正则环之间的一些关系,并且给出了GNPP环的一些刻画.
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| 关 键 词： | nil-内射模 Wnil-内射模 GNPP环 |
On GNPP Rings |
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| ZHAO Yu-e,DU Xian-neng.On GNPP Rings[J].Journal of Anhui Normal University(Natural Science Edition),2009,32(3):222-224,229. |
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| Authors: | ZHAO Yu-e DU Xian-neng |
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| Institution: | ZHAO Yu-e1,DU Xian-neng2 (1.College of Mathematics,Qingdao University,Qingdao 266071,China,2.College of Mathematics , Computational Science,Anhui University,Hefei 2300039,China) |
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| Abstract: | In this paper, we define GNPP ring as follows: A ring R is called a left GNPP Ring if for every 0≠a∈N(R), there exists a positive integer n such that an≠0 and Ran is a projective left R-module. We show some relations between GNPP rings and π-N-regular ring and give some characterizations of GNPP rings. |
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| Keywords: | nil-injective module Wnil-injective module GNPP ring |
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