格蕴涵代数中的扩张滤子  

The Extended Filter in Lattice Implication Algebras

作　　者：朱华[1] 陈树伟[1] 赵建彬[1] 

机构地区：[1]郑州大学数学系

出　　处：《模糊系统与数学》2011年第5期50-53,共4页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(6087503410901143)

摘　　要：在格蕴涵代数中提出了扩张滤子的概念。讨论了扩张滤子与滤子,扩张滤子与素滤子,扩张滤子与滤子的根,扩张滤子与准素滤子,扩张滤子与最大滤子之间的关系。得到了扩张滤子的一些性质。最后,证明了在格H蕴涵代数中,扩张滤子与扩张滤子的根相等。The notion of an extended filter in lattice implication algebras is proposed.The relations between an extended filter and a filter,between an extended filter and a prime filter,between an extended filter and a filter＇s radical,between an extended filter and a primary filter,between an extended filter and a maximal filter are discussed,respectively.The properties of an extended filter are obtained.Finally,an extended filter is proved to be an extended filter＇s radical in lattice H implication algebras.

关 键 词：滤子 扩张滤子 滤子的根 格蕴涵代数 

分 类 号：O153[理学—数学]