journal6 ›› 2014, Vol. 35 ›› Issue (5): 13-17.DOI: 10.3969/j.issn.1007-2985.2014.05.004
• 数学 • 上一篇 下一篇
牛娟宁,黎奇升
出版日期:
发布日期:
作者简介:
基金资助:
湖南省研究生创新科研基金资助项目（CX2014B434）；吉首大学校级课题资助项目（14JDY049）
NIU Juan-Ning, LI Qi-Sheng
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摘要：对于上连续完备模格L,证明了L是局部原子格等价于1是原子的并,也等价于1是独立原子的并,并进一步给出了1可分解为有限个原子并的若干等价条件.
关键词： 完备格, 半单性, 独立子集, 紧生成, 上连续
Abstract: It is proved that for an upper continuous and complete modular lattice L,L is locally atomic if and only if 1 is a join of atoms,and if and only if 1 is a join of independent atoms.Moreover,some conditions under which 1 can be expressed as a join of finite atoms are given.
Key words: complete lattice, semi-simplicity, independent set, compactly generated, upper continuous
牛娟宁, 黎奇升. 上连续完备模格的半单性[J]. journal6, 2014, 35(5): 13-17.
NIU Juan-Ning, LI Qi-Sheng. Semisimplicity for Upper Continuous and Complete Modular Lattices[J]. journal6, 2014, 35(5): 13-17.
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链接本文: https://zkxb.jsu.edu.cn/CN/10.3969/j.issn.1007-2985.2014.05.004
https://zkxb.jsu.edu.cn/CN/Y2014/V35/I5/13
