A closed curve homeomorphic to the unit circle in a 3-manifold is called a knot. In particularly, a knot that can be drawn on a torus without intersecting itself is called a torus knot. In this thesis, we study torus knots ...

A natural problem to consider in ring and module theory is to investigate the cancellation property of a given object. This problem was first considered by Jónsson and Tarski for any algebraic system and then gave rise ...

This thesis is a study on authentication methods of Bitcoin ecosystem which is an application of blockchain. Firstly, the facilities given by Bitcoin along with its security requirements are examined from a perspective ...

In this thesis, by using the algebraic topological instrument symplectic chain complex and the toplogical invariant Reidemeister torsion, which has also many applications in several branches of mathematics and theoretical ...

In this thesis we study almost p-ary sequences and their autocorrelation coefficients. We first study the number L of distinct out-of-phase autocorrelation coefficients for an almost p-ary sequence of period n + s with s ...

In this thesis we study parametric codes defined by any subset of a weighted projective space which is parameterized by monomials. The methods and notions used to study these codes are presented in detail. This work ...

The aim of this thesis is to define the notion of diframe as a generalization of ditopological texture spaces and to study the topological concepts such as separation axioms and compactness in diframe setting. This work ...

A contact structure on a 3-manifold is a maximally non-integrable 2-plane field distributed all over the 3-manifold. There are two types of contact structures on 3-manifolds: tight and overtwisted. Knots that are everywhere ...

In this thesis, evaluation codes defined on special subsets of projective toric varieties are studied. Two methods are presented in detail for finding generators of vanishing ideals which are used to compute parameters of ...

In this study a new iterative method is introduced, aims to find all roots of complex polynomials with help of Newton’s method. There are methods similar to this one, their degrees are introduced by Sutherland in 1989 ...