On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings

被引：69
|
作者：
Kazanci, Osman
Davvaz, B. [1 ,2 ]
机构：
[1] Yazd Univ, Dept Math, Yazd, Iran
[2] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey
来源：
INFORMATION SCIENCES | 2008年 / 178卷 / 05期
关键词：
fuzzy set; rough set; lower approximation; upper approximation; ring; ideal; prime ideal; primary ideal; fuzzy ideal;
D O I：
10.1016/j.ins.2007.10.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is a continuation of ideas presented by Davvaz [Roughness in rings, Inform. Sci., 164 (2004) 147-163; Roughness based on fuzzy ideals, Inform. Sci., 176 (2006) 2417-2437]. We introduce the notions of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in a ring, and give some properties of such ideals. Also, we discuss the relations between the upper and lower rough prime (primary) ideals and the upper and lower approximations of their homomorphism images. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：1343 / 1354
页数：12
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