Redefined generalized fuzzy ideals of near-rings  

作　　者：ZHAN Jian-ming YIN Yun-qiang 

机构地区：[1]Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, China [2]College of Mathematics and Information Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2010年第3期341-348,共8页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(60875034);the Natural Science Foundation of Education Committee of Hubei Province(D20092901),the Natural Science Foundation of Hubei Province(2009CDB340)

摘　　要：With a new idea, we redefine generalized fuzzy subnear-rings （ideals） of a near- ring and investigate some of its related properties. Some new characterizations are given. In particular, we introduce the concepts of strong prime （or semiprime） （∈, ∈∨ q）-fuzzy ideals of near-rings, and discuss the relationship between strong prime （or semiprime） （∈, ∈∨ q）-fuzzy ideals and prime （or semiprime） （∈, ∈∨ q）-fuzzy ideals of near-rings.With a new idea, we redefine generalized fuzzy subnear-rings （ideals） of a near- ring and investigate some of its related properties. Some new characterizations are given. In particular, we introduce the concepts of strong prime （or semiprime） （∈, ∈∨ q）-fuzzy ideals of near-rings, and discuss the relationship between strong prime （or semiprime） （∈, ∈∨ q）-fuzzy ideals and prime （or semiprime） （∈, ∈∨ q）-fuzzy ideals of near-rings.

关 键 词：NEAR-RING subnear-ring （ideal） （∈^- ∈^-∨ q^-）-fuzzy subnear-ring （ideal） prime （semiprime） （∈ ∈∨ q）-fuzzy subnear-ring （ideal）. 

分 类 号：O159[理学—数学] O153.3[理学—基础数学]