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

Ari Wardayani | Zendy

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

Author(s) -

Ari Wardayani

Publication year - 2012

Publication title -

jurnal ilmiah matematika dan pendidikan matematika

Language(s) - English

Resource type - Journals

eISSN - 2550-0422

pISSN - 2085-1456

DOI - 10.20884/1.jmp.2012.4.2.2964

Subject(s) - mathematics , coset , gaussian , gaussian integer , quotient , set (abstract data type) , discrete mathematics , eisenstein integer , combinatorics , computer science , algebraic number , mathematical analysis , physics , quantum mechanics , programming language

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.

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