I-投射模和I-内射模(英文)  

I-projective and I-injective modules

作　　者：李瑾[1] 

机构地区：[1]西北师范大学数学与信息科学学院,兰州730070

出　　处：《兰州大学学报（自然科学版）》2012年第3期90-95,共6页Journal of Lanzhou University(Natural Sciences)

基　　金：Supported by the National Natural Science Foundation of China(10961021)

摘　　要：引入了I-投射模和I-内射模,给出了它们的性质.定义了I-投射维数和I-内射维数,同时推广了一些已有的结论.The notion of Ф-projective and Ф-injective modules was introduced and their characterization given. And the Ф-projective and Ф-injective dimensions for modules were defined and some known results generalized.

关 键 词：I-投射模 I-内射模 I-平坦模 I-投射维数 I-内射维数 I-预(覆盖) I-预(包络) 

分 类 号：O153.3[理学—数学]