节点文献
幂格的素理想和素对偶理想
Prime Ideal and Prime Dual Ideal of Power Lattices
【摘要】 在文 [1 ]中 ,引入了幂格的概念 ,并讨论了其相关性质 .本文在此基础上 ,讨论格与其幂格的理想 ,对偶理想的关系 ,以及格与其幂络的素理想 ,素对偶理想的关系 .
【Abstract】 Based on [1],in which the concept of the power lattice on a lattice was introduced,this paper discusses relation between ideal (dual ideal) of lattice and ideal (dual ideal) of power lattice on the lattice,relation between prime ideal (prime dual ideal) of lattice and prime ideal (prime dual ideal) of power lattice on the lattice.
【关键词】 格;
幂格;
理想;
素理想;
格同态;
【Key words】 Lattice; Power lattice; Ideal; Prime ideal; Lattice homomorphism;
【Key words】 Lattice; Power lattice; Ideal; Prime ideal; Lattice homomorphism;
- 【文献出处】 应用数学 ,Mathematica Applicata , 编辑部邮箱 ,2004年03期
- 【分类号】O156
- 【被引频次】5
- 【下载频次】75