Properties of Rough Ideals in Commutative Rings

被引：0
作者：
Wang, Jiyi [1 ]
Lin, Renbing [2 ]
机构：
[1] Zhejiang Normal Univ, Sch Math & Informat Sci, Jinhua 321004, Zhejiang, Peoples R China
[2] Zhejiang Shuren Univ, Depart Basic Courses, Hangzhou 310015, Zhejiang, Peoples R China
来源：
2008 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2 | 2008年
关键词：
Rough sets; Upper approximation; Lower approximation; Ring; Ideal; Prime ideal; Primary ideal;
D O I：
10.1109/GRC.2008.4664648
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We discuss the relation between the upper and lower rough ideal, rough prime (primary) ideal, and induce a full congruence relation in original image to its homomorphism image. The properties of rough prime (primary) ideals of their homomorphism images in commutative rings are discussed.
引用
收藏
页码：612 / +
页数：2
相关论文
共 11 条
[1]  
Biswas R., 1994, Bull. Polish Acad. Sci. Math., V42, P251
[2]   Roughness in modules [J].
Davvaz, B. ;
Mahdavipour, M. .
INFORMATION SCIENCES, 2006, 176 (24) :3658-3674
[3]   A New view of the approximations in Hv-groups [J].
Davvaz, B. .
SOFT COMPUTING, 2006, 10 (11) :1043-1046
[4]   Roughness in rings [J].
Davvaz, B .
INFORMATION SCIENCES, 2004, 164 (1-4) :147-163
[5]   Approximations in Hv-modules [J].
Davvaz, B .
TAIWANESE JOURNAL OF MATHEMATICS, 2002, 6 (04) :499-505
[6]  
Jun Y. B., 2002, SCI MATH JAPONICAE, V57, P165
[7]  
JUN YB, 2003, B KOREAN MATH SOC, V40, P531, DOI DOI 10.4134/BKMS.2003.40.3.531
[8]  
KAZANCI B, STRUCTURE ROUGH PRIM
[9]   Rough ideals in semigroups [J].
Kuroki, N .
INFORMATION SCIENCES, 1997, 100 (1-4) :139-163
[10]   The lower and upper approximations in a fuzzy group [J].
Kuroki, N ;
Wang, PP .
INFORMATION SCIENCES, 1996, 90 (1-4) :203-220
12