上有限δ-直和补模  

Cofinitely δ--supplemented modules

作　　者：王永铎[1] 李明泉[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》2012年第2期128-130,共3页Journal of Lanzhou University of Technology

摘　　要：称模M是上有限δ-直和补模,若M的任意上有限子模存在δ-补模是M的直和项.给出上有限δ-直和补模的一些性质,并证明如果M是满足(D3)条件的上有限δ-直和补模,则M的任意上有限直和项是上有限δ-直和补模;同时证明上有限δ-直和补模的任意有限直和是上有限δ-直和补模.A module M was called cofinitely δ--supplemented if for every cofinite submodule of M,exists a δ-supplement,which was a direct summand term of M.Some properties of cofinitely δ--supplemented modules were given and it was proved that if M was a cofinitely δ--supplemented module meetting the conditions（D3）,then any cofinite direct summand term of M would be cofinitely δ--supplemented,and meantime,also proved that any finite direct sum of cofinitely δ--supplemented modules would be a cofinitely δ--supplemented module.

关 键 词：上有限子模 上有限δ-补模 上有限δ-直和补模 

分 类 号：O153.3[理学—数学]