格上的模糊理想与模糊同余理想  

The fuzzy ideal and fuzzy congruence ideal relations of the lattice

作　　者：花秀娟[1] 辛小龙[1] 朱熙[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《西北大学学报（自然科学网络版）》2009年第3期3-9,共7页

基　　金：陕西省自然科学基金资助项目（2007A19）;陕西省教育厅专项科研基金资助项目（08JK472）

摘　　要：对Fuzzy理想做了进一步的研究，证明了几个主要的性质，得到了在格的同态映射θ下，Fuzzy理想与其像、逆像之间的关系，并建立了它与Fuzzy同余理想间的关系。In general, every algebraic structure can build the relevant fuzzy structure. Some authors have introduced the notion of fuzzy ideal and have made some studies. A few main properties are proved .And the relationships were obtained between the image of fuzzy ideal and its inverse image in the homomorphic mapping of the lattice θ, and the correspondence relations were established between Fuzzy ideal and fuzzy congruence ideal.

关 键 词：FUZZY理想 FUZZY同余关系 Fuzzy同余理想 

分 类 号：O159[理学—数学]