Title :
Properties of rough ideals in commutative rings
Author :
Wang, Jiyi ; Lin, Renbing
Author_Institution :
Sch. of Math. & Inf. Sci., Zhejiang Normal Univ., Jinhua
Abstract :
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.
Keywords :
group theory; rough set theory; commutative ring; congruence relation; group theory; homomorphism image; rough prime ideal; Algebra; Information science; Mathematics; Modules (abstract algebra); Rough sets; Ideal; Lower approximation; Primary ideal; Prime ideal; Ring; Rough sets; Upper approximation;
Conference_Titel :
Granular Computing, 2008. GrC 2008. IEEE International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4244-2512-9
Electronic_ISBN :
978-1-4244-2513-6
DOI :
10.1109/GRC.2008.4664648
