Fuzzy HX环的推广  

Generalization of Fuzzy HX Ring

作　　者：彭家寅[1] 李洪兴[2] 

机构地区：[1]内江师范学院数学系,内江四川641112 [2]北京师范大学数学系,北京100875

出　　处：《数学进展》2006年第1期67-74,共8页Advances in Mathematics（China）

基　　金：国家自然科学基金(60174013);国家973重大基础研究计划基金(2002CB312200);四川省教育厅重点项目(2003A165)

摘　　要：为改进Fuzzy HX环的结果,使之包含Fuzzy商环,提出了弱Fuzzy HX环的概念,研究了它的性质与结构,并重新讨论了拟Fuzzy商环,证明了在正则条件下拟Fuzzy商环与弱Fuzzy HX环的统一性：同时也得到了一致弱Fuzzy HX环与普通Fuzzy商环的关系。In order to improve the results of fuzzy HX-ring such that they contain fuzzy quotient ring, the concept of weak fuzzy HX-ring is proposed, their properties and structures are discussed and the quasi-fuzzy quotient ring is rediscussed. Under some condition, some relations between quasi-fuzzy quotient rings and weak Fuzzy HX ring are established. Also some relations between uniform weak fuzzy HX ring and fuzzy quotient rings are obtained.

关 键 词：弱HX环 FUZZY HX环 弱Fuzzy HX环 正则弱Fuzzy HX环 一致弱 

分 类 号：O159[理学—数学] O153.3[理学—基础数学]