| (n,d)-投射模与m-(n,d)-投射模 |
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| 引用本文： | 卢博.(n,d)-投射模与m-(n,d)-投射模[J].甘肃科学学报,2010,22(2):17-19. |
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| 作者姓名： | 卢博 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 设R是环,n,m,d是非负整数,其中m或者为∞.右R-模M称为m-(n,d)-投射的,如果对任意的右R-模N且(n,d)-id(N)≤m,有Ext1R(M,N)=0.研究了(n,d)-投射模及m-(n,d)-投射模的一些性质.
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| 关 键 词： | 投射模 非负整数 性质 |
(n,d)-Projective Modules and m-(n,d)-Projective Modules |
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| LU Bo.(n,d)-Projective Modules and m-(n,d)-Projective Modules[J].Journal of Gansu Sciences,2010,22(2):17-19. |
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| Authors: | LU Bo |
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| Institution: | LU Bo(College of Mathematics and Information Science,Northwest Normal University,Lahzhou 730070,China) |
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| Abstract: | Let R be ring,and m,n,d are non-negative integers,in which m can be ∞.A righe R-module-M is called m-（n,d）-projective if Ext^1R（M,N）=0 for any right R-module N with （n,d）-id（N）≤m.The properties of （n,d）-projective modules and m-（n,d）-projective modules are studied. |
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| Keywords: | projective modules non-negative integer property |
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