Generali̇zed TL–submodules

The aim of the present thesis is to examine the structures of TL-i-submodule and TL-θ-i-submodule, and to investigate the relationship between their basic features and results. This study consists of two main chapters. In Chapter 1, some definitions and theorems which are crucial for our study are stated. Chapter 2 contains two parts. In the first part, the definition of TL-i-submodule are given. Furthermore, their main properties are presented. In addition, the lattice structures of TL-i-submodules, especially modular and distributive lattice structures, are examined. In the last part, the definition of TL-θ-i-submodules are given and their algebraic characteristics are investigated.