剩余格蕴涵代数中n-重素滤子的研究  

The n-fold Prime Filter of Residuated Lattice Implication Algebras

作　　者：朱华[1] 赵建彬[1] 徐扬[2] 

机构地区：[1]郑州大学数学系,郑州450001 [2]西南交通大学智能控制中心,成都610031

出　　处：《郑州大学学报（理学版）》2008年第1期19-22,共4页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目,编号60474022

摘　　要：在剩余格蕴涵代数中,提出了n-重素滤子的概念,并研究了它的性质.讨论了n-重素滤子与关联滤子、n-重素滤子与素滤子、n-重素滤子与准素滤子和对不同的自然数n,n-重素滤子之间的关系.最后,得到了在格H蕴涵代数中,n-重素滤子与素滤子等价和n-重素滤子与准素滤子等价的结论.The concept of n-fold prime filter is proposed in residuated lattice implication algebras,and then its property is researched.The relations between n-fold prime filter and implicative filter,n-fold prime filter and prime filter,n-fold prime filter and primary filter,etc.,are discussed.Finally,the conclusions that an n-fold prime filter is equivalent to a prime filter and a primary filter are proved respectively in lattice H implication algebras.

关 键 词：剩余格蕴涵代数 滤子 n-重素滤子 素滤子 

分 类 号：O153.1[理学—数学]