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

页码：933 / 944

页数：12

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