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w-可解类和v-可解类
引用本文:王欣欣,汪军鹏.w-可解类和v-可解类[J].甘肃科学学报,2014(1):1-3.
作者姓名:王欣欣  汪军鹏
作者单位:[1]陇东学院数学与统计学院,甘肃庆阳745000 [2]兰州交通大学博文学院,甘肃兰州730101
基金项目:国家自然科学基金项目(7116106]);陇东学院青年科技创新项目(XYZK1207)
摘    要:引入w-可解类和v-可解类的概念,给出了强Ω-Gorenstein投射模是w-可解类的充要条件和强Ω-Gorenstein内射模是v-可解类的充要条件.

关 键 词:(强)Ω-Gorenstein投射模  (强)Ω-Gorenstein内射模  w-可解类  v-可解类

w-Resolving Classes and v-Resolving Classes
WANG Xin-xin,WANG Jun-peng.w-Resolving Classes and v-Resolving Classes[J].Journal of Gansu Sciences,2014(1):1-3.
Authors:WANG Xin-xin  WANG Jun-peng
Institution:1. School of Mathematics and Statistics, Longdong University, Qingyang 745000, China ; 2. Bo Wen College ,Lanzhou Jiaotong University ,Lanzhou 730101 ,China)
Abstract:With the introduction of the definitions of .v resolving classes and ~-resolving classes, it proved that strongly Ω-Gorenstein projective modules are sufficient and necessary conditions for w-reso ving classes and strongly Ω-Gorenstein injective modules are sufficient and necessary conditions for v-reso ring classes.
Keywords:(strongly) Ω-Gorenstein projective modules  (strongly) Ω-Gorenstein injective modules    ~-resolving classes      Tresolving classes
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