Main topic of the this work is to use the notion of unbounded convergences on vector lattices to derive properties of various classes of operators and nets of operators defined between vector lattices, Banach lattices, and ...

Order convergence and unbounded order convergence are not topological terms on Riesz space. On the other hand, compact operatör takes an important place in functional analysis. In this thesis, we investigate order compact ...

This thesis is partly based on recent developments on the subject of what is known as “injectivity domains” in the theory of modules over rings with identity. The subject was suggested as a measurement of how far a module ...

Let Σ be a closed orientable surface of genus at least 2 and Rep(Σ,G) be the smooth part of the representation variety of homomorphisms' conjugation classes from fundamental group of Σ to Lie group G. In this thesis, ...

Let $R$ be a commutative ring with identity and $G=(V,E)$ be a finite graph, where $V$ is a set of elements of vertices and $E$ is a set of elements of edges. A map $ \alpha : E \to \{\text{ideals in R}\}$ is called ...

This thesis is constructed on a variety of coloring types in five chapters. Following the Introduction chapter, elementary definitions and methods used throughout the work are presented in Chapter 2. Chapter 3 presents ...

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 ...

This thesis is based on work on modules that satisfy the H-condition, also known as "finitely annihilated modules" in the theory of modules on unitary rings. Modules that satisfy the H-condition have taken an important ...