Ahmad Abdulaziz Al-Dharrab2022-05-182022-05-185416https://drepo.sdl.edu.sa/handle/20.500.14154/3133The aim of this thesis is to systematically present the theory of reduction to a diagonal form of a matrix over an arbitrary ring. This work is based mainly on Kaplansky’s paper “Elementary Divisors and Modules”.enElementary divisors over ringsThesis