M.Sc. Tezi Görüntüleme

Student:	Erkut KIR
Supervisor:	Asst.Prof.Dr. Sultan YAMAK
Department:	Mathematics
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University, Turkey

Title of the Thesis:	RADICALS OF FUZZY L-IDEALS
Level:	M.Sc.
Acceptance Date:	8/9/2004
Number of Pages:	59
Registration Number:	i1529

Summary:

In this thesis, Radicals of Fuzzy L-Ideals considered in details. This work has two main sections.

In the fırst section; Lattices, Rings, Ideals, Radicals defined by using Birkhoff[ 1 ]. Then, Fuzzy Sets, Fuzzy Subrings, Fuzzy L-Ideals definitions and properties, that studied by Malik and Mordeson [7], are given.

In the second section; studies for giving Radicals of L-Ideals are completed by summaryzing Martinez [6], Yue [10] and Zhang's [11] studies about; Maximal L-Ideals. Irreducible L-Ideals, Prime and Semi-Prime L-Ideals.

By using Kumar[3,4], Sen ve Mukherjee[8], Sidky[9], Malik ve Mordeson[7]'s studies. Radicals of L-Ideals, Primary L-Ideals, Semi-Primary L-Ideals and their properties are given. In the last part, R Radicals of L-Ideals, R Primary L-Ideals and R Semi-Primary L-Ideals and some important properties, that defined by Malik and Mordeson [7], are showned.

Key Words : Fuzzy L-Ideal, Radical of Fuzzy, Prime L-Ideal, Primary L-Ideal, Maximal L-Ideal, Irreducible L-Ideal.