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余有限扩张模

Cofinitely extending modules
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摘要 作为扩张模的真推广,引入余有限扩张模,并讨论该模的基本性质.证明余有限扩张模的任意直和项(完全不变的余有限子模)仍是余有限扩张模.若M是余有限扩张模且N是M的闭子模,则M/N是余有限扩张模.设M=M1 M2是duo模.若M1和M2都是余有限扩张模,则M是余有限扩张模. As a proper generalization of extending modules, the concept of cofinitely extending modules was introduced and their basic properties were discussed. It was proved that every direct summand （cofinitely fully invariant submodule） of a cofinitely extending module was still cofinitely extending. Let M be a cofinitely extending module and N a closed submodule of M, then M/N would be cofinitely extending. Let M=M1＋M2 be a duo module and if M1 and M2 were both cofinitely extending, then M would be cofinitely extending.
作者 吴德军 王永铎
机构地区 兰州理工大学理学院
出处 《兰州理工大学学报》 CAS 北大核心 2008年第4期161-163,共3页 Journal of Lanzhou University of Technology
关键词 余有限子模 余有限扩张模 完全不变子模 eofinite submodule eofinitely extending module full invariant submodule
分类号 O153.3 [理学—基础数学]
  • 相关文献

参考文献15

  • 1DUNG N V, HUYNH D V, SMITH P F, et al. Extending modules [M]. London:Pitman, 1994.
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二级参考文献13

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兰州理工大学学报
2008年 第4期

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