摘要
首先,在偏序集上引入并考察素强理想,探讨素强理想、素理想、强理想3者之间的关系;其次,给出强理想与素强理想等价的一个充分条件;最后,得到序同构映射下(素)强理想的像仍是(素)强理想.
In this paper, firstly, the concept of prime strong ideal on posets is introduced and examined. The relationships of prime strong ideal, prime ideal, and strong ideal are explored. Secondly, a sufficient condition for equivalence between strong ideals and prime strong ideals is given. Finally, the result that the image of a (prime) strong ideal under an order isomorphic mapping is still a (prime) strong ideal is obtained.
作者
陈方鑫
姜广浩
唐照勇
Chen Fangxin;Jiang Guanghao;Tang Zhaoyong(School of Mathematics Science,Huaibei Normal University,Huaibei 235000,Anhui,China;Guangling College,Yangzhou University,Yangzhou 225000,Jiangsu,China)
出处
《江苏师范大学学报（自然科学版）》
CAS
2019年第2期41-43,共3页
Journal of Jiangsu Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(11361028)
安徽高等学校省级自然科学研究重点项目(Kj2017A378)
安徽省高校省级质量工程项目(2017jxtd146)
淮北师范大学学位与研究生教育项目(2017jyxm03)
关键词
素理想
强理想
素强理想
序同构映射
prime ideal
strong ideal
prime strong ideal
order isomorphic mapping
