| 弱投射模与相伴弱投射模 |
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| 引用本文： | 李剑华,陈淼森.弱投射模与相伴弱投射模[J].浙江师范大学学报(自然科学版),2012(3):267-270. |
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| 作者姓名： | 李剑华 陈淼森 |
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| 作者单位： | 浙江师范大学数理与信息工程学院 |
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| 基金项目： | 浙江省自然科学基金重点资助项目(Z6090150) |
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| 摘 要： | 引进了弱投射模的概念，并在弱投射模上讨论了Schanuel引理；同时，在弱投射模上定义了弱投射维数及弱整体维数，给出了弱投射维数为0和1时对模的刻画；最后，在弱投射模的基础上定义了相伴弱投射模，并得到相伴弱投射模的一些性质．
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| 关 键 词： | 弱投射模 相伴弱投射模 弱投射维数 相伴弱投射维数 schanuel引理 |
Weak projective module and adjoint weak projective module |
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| LI Jianhua,CHEN Miaosen.Weak projective module and adjoint weak projective module[J].Journal of Zhejiang Normal University Natural Sciences,2012(3):267-270. |
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| Authors: | LI Jianhua CHEN Miaosen |
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| Institution: | (College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua Zhejiang 321004,China) |
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| Abstract: | It was extended the concept of weak projective module and introduced the concept of weak projective module,the Schanuel lemma on weak projective module was discussed,the weak projective dimension and weak global dimension was defined,and the characteristics of the modules were discussed for weak projective dimension 0 and 1.Based on the weak projective module,the adjoint weak projective module was introduced and some properties of the adjoint weak projective module were obtained. |
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| Keywords: | weak projective module adjoint weak projective module weak projective dimension adjoint weak projective dimension Schanuel Lemma |
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