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

Ari Wardayani (Department of Mathematics, Jenderal Soedirman University)

Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Vol 4 No 2 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika

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.