Dedekind domain are the rings in which every nonzero proper ideal has a prime factorization. In this thesis, we first study valuation rings and Prüfer domains. Then we characterize Dedekind domains which are also Noetherian ...

In this dissertation, the solvability, uniqueness and long-time behavior of solution of the nonlinear diffusion-convection equation with 3. type boundary condition have been investigated. Firstly, when the initial condition ...

This work consists of five chapters. In the first chapter, the basic properties of useful certain kind of submodules in module and ring theory which are named as essential and complement submodules are given. In the second ...

In this thesis, it is studied how the B¨acklund transformations of nonlinear partial differential equations are obtained and deriving new solutions from the known solutions by using these transformations with the ...

Differential equations are mostly used to model real life problems. However, it is known that in general, these equations do not have complete solutions. For that reason, researchers have tried to solve these problems by ...

The commutative theory of Dedekind domains is well developed in literature and much isknown about the arithmetic of ideals and also the structure of modules over a Dedekinddomain. There have been many studies on the ...

In this thesis by using the neutrix calculus, the neutrix compositions of some special generalized functions are defined.The thesis consists of five chapters.The first chapter is an introduction to the thesis. In the second ...

he aim of this thesis is to make a compilation on the theory named as infinite combinatorialtopology or the selection principles in mathematics and to investigate the relations betweenthe sets of reals and Menger Conjecture.This ...

Let X be a complete simplicial toric variety over a finite field with a split torus T_X. This thesis is on parameterized codes obtained from the subgroups of the torus T_X parameterized by matrices. It is very important ...

Let R be a commutative ring with identity and M_n(R) be the algebra (ring) of all n x n matrices over R. Note that an additive D of a ring R into itself is said to be a derivation of R if D(xy)=D(x)y+xD(y) for all x, y ...