z-ideals in lattices

被引：0
|
作者：
Vinayak Joshi
Shubhangi Kavishwar
机构：
[1] Savitribai Phule Pune University,Department of Mathematics
[2] College of Engineering,Department of Mathematics
来源：
Acta Scientiarum Mathematicarum | 2019年 / 85卷
关键词：
06B10; 06D75; -ideals; Baer ideal; 0-ideal; closed ideal; minimal prime ideal; maximal ideal; dense ideal; dually semi-complemented lattice;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we define z-ideals in bounded lattices. A separation theorem for the existence of prime z-ideals is proved in distributive lattices. As a consequence, we prove that every z-ideal is the intersection of some prime zideals. Lastly, we prove a characterization of dually semi-complemented lattices.
引用
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页码：59 / 68
页数：9
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