摘要
引入了左R-半模的线性组合,左R-半模的生成系等概念,讨论了有限生成半模的性质,得到了左R-半模的子半模集关于偏序≤作成完全格,有限生成非零左R-半模有极大子半模。
The concepts of the linear combination and the spanning set for a left R-semimodule are introduced, and the properties of the finitely spanned left R-semimodule are discussed. We conclude that the set of subsemimodules of a semimodule forms a complete semimodular lattice with respect to the partial order of set inclusion, and a non-zero left R-semimodule with a finite spanning set has a maximal subsemimodule.
出处
《三明学院学报》
2003年第4期59-63,共5页
Journal of Sanming University
关键词
半模
线性组合
有限生成半模
极大子半模
semimodule
linear combination
semimodule with a finite spanning set
maximal subsemimodule
