Equiprime, 3-prime and c-prime fuzzy ideals of nearrings

被引：18
|
作者：
Kedukodi, Babushri Srinivas [1 ]
Kuncham, Syam Prasad [1 ]
Bhavanari, Satyanarayana [2 ]
机构：
[1] Manipal Univ, Manipal Inst Technol, Dept Math, Manipal 576104, Karnataka, India
[2] Acharya Nagarjuna Univ, Dept Math, Guntur 522510, Andhra Pradesh, India
来源：
SOFT COMPUTING | 2009年 / 13卷 / 10期
关键词：
Nearring; Equiprime; 3-prime; c-Prime; Fuzzy ideal; Fuzzy point; Quasi-coincident; Level set; Fuzzy coset; NEAR-RINGS; SUBNEAR-RINGS;
D O I：
10.1007/s00500-008-0369-x
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we present the notions of equiprime fuzzy ideal, 3-prime fuzzy ideal and c-prime fuzzy ideal of a nearring. We characterize these fuzzy ideals using level subsets and fuzzy points. If f: N -> M is an onto nearring homomorphism, we show that the map mu -> f(mu) defines a one-to-one correspondence between the set of all f-invariant (alternatively with sup property) equiprime (3-prime and c-prime, respectively) fuzzy ideals of N and the set of all equiprime (3-prime and c-prime, respectively) fuzzy ideals of M. Finally, we define fuzzy cosets determined by generalized fuzzy ideals; obtain fundamental results and isomorphism theorems.
引用
收藏
页码：933 / 944
页数：12
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