MODUL FAKTOR YANG DIBENTUK DARI SUBMODUL Z^2 PADA MODUL R^2 ATAS GAUSSIAN INTEGERS

Abstract

We prove that ℝ² is module over Gaussian Intergers and the set of all coset of submodule  in module ℝ² over Gaussian Integers is a quotient module. We find the proof by showing that ℝ² is both a right module and a left module over Gaussian Integers and showing that the set of all coset of submodule  in module ℝ² is both a right module and a left module over Gaussian Integers.