International Journal of Innovative Research and Development

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A Note on Fuzzy Ideals in Near-Rings and its Anti-Homomorphism


Affiliations
1 DVR & Dr. HS MIC College of Engineering and Technology, Kanchikacherla, India
2 ANU College of Engineering and Technology, Acharya Nagarjuna University, Guntur, AP, India
 

The Theory of Fuzzy sets introduced in 1964 by Zadeh [10]. The study of Fuzzy algebraic structures has started by Rosen field [9] in 1970. In this paper we investigate anti-homomorphic images and pre-images of semi prime, strongly primary, irreducible, strongly irreducible Fuzzy ideals and f-invariant, semi prime Fuzzy ideals of a Near-Ring N.

Mathematics Subject Classification: 08A72, 13A15, 03E72, 13C12


Keywords

Near-Ring, Fuzzy Ideal, Prime Fuzzy Ideal, (Strongly) Primary Fuzzy Ideal, F-Invariant, Semi-Prime Fuzzy Ideal, Anti-Homomorphism.
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  • A Note on Fuzzy Ideals in Near-Rings and its Anti-Homomorphism

Abstract Views: 246  |  PDF Views: 1

Authors

M. Rupa Lavanya
DVR & Dr. HS MIC College of Engineering and Technology, Kanchikacherla, India
T. V. Pradeep Kumar
ANU College of Engineering and Technology, Acharya Nagarjuna University, Guntur, AP, India

Abstract


The Theory of Fuzzy sets introduced in 1964 by Zadeh [10]. The study of Fuzzy algebraic structures has started by Rosen field [9] in 1970. In this paper we investigate anti-homomorphic images and pre-images of semi prime, strongly primary, irreducible, strongly irreducible Fuzzy ideals and f-invariant, semi prime Fuzzy ideals of a Near-Ring N.

Mathematics Subject Classification: 08A72, 13A15, 03E72, 13C12


Keywords


Near-Ring, Fuzzy Ideal, Prime Fuzzy Ideal, (Strongly) Primary Fuzzy Ideal, F-Invariant, Semi-Prime Fuzzy Ideal, Anti-Homomorphism.