上有限H-补模的直和  

Direct sums of cofinitely H-supplemented modules

作　　者：王永铎[1] 陈文彬[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2011年第1期126-129,共4页Journal of Lanzhou University of Technology

摘　　要：模M称为上有限H-补模,若对于M的任意上有限子模L,存在M的直和项N,使得L+X=M当且仅当N+X=M,其中X是M的任意子模.给出上有限H-补模的一些性质,并证明对于上有限补模M=M1 M2,如果M1是M2-sjective(或M2是M1-sjective),且M1和M2是上有限H-补模,则M是上有限H-补模.A module M was called cofinitely H-supplemented if for every cofinite submodule L of M,there was a direct summand N of M such that L＋X=M if and only if N＋X=M for any submodule X of M.Some properties of cofinitely H-supplemented modules were given and it was proved that,for a cofinitely supplemented module M=M1M2,if M1 was M2-sjective（or M2 was M1-sjective） and M1,M2 were cofinitely H-supplemented,then M would be cofinitely H-supplemented.

关 键 词：上有限子模 上有限H-补模 sjective模 

分 类 号：O153.3[理学—数学]