On fuzzy ideals in rings and anti-homomorphism

Loading...
Thumbnail Image
Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
International Mathematical Forum
Abstract
We investigate anti- homomorphic images and pre images of semiprime, strongly primary, irreducible and strongly irreducible fuzzy ideals of a ring. We also prove that: For a surjective anti-homomorphism f : R → R/, if every fuzzy ideal of R is f-invariant and has a fuzzy primary (respectively, strongly primary) decomposition in R, then every fuzzy ideal of R/ has a fuzzy primary (respectively, strongly primary) decompsition in R/.
Description
Keywords
Fuzzy Ideal, Prime Fuzzy Ideal, Irreducible Fuzzy Ideal, Anti-homomorphism
Citation
International Mathematical Forum, Vol. 7,no 16, pp 753-759, 2012