PARAMETER: Jurnal Matematika dan Statistika dan Terapannya
Vol 1 No 2 (2022): PARAMETER: Jurnal Matematika, Statistika dan Terapannya

Some NECESSARY AND SUFFICIENT CONDITIONS OF COMULTIPLICATION MODULE

Emanuella M C Wattimena (Universitas Pattimura)
Henry W.M. Patty (Program Studi Matematika FMIPA Unpatti)
Dyana Patty (Universitas Pattimura)
Dorteus L. Rahakbauw (Universitas Pattimura)

Article Info

Publish Date
13 Oct 2022

Abstract

In ring theory, if and be ideals of , then the multiplication of and , which is defined by is also ideal of . Motivated by the multiplication of two ideals, then can be defined a multiplication module, a special module which every submodule of can be expressed as the multiplication of an ideal of ring and the module itself, and can simply be written as . Furthermore, if the module become a comultiplication module. By the definition, it concludes that every comultiplication module is a multiplication module but the converse is not necessarily applicable. Keywords: annihilator, ideal, module, comultiplication module, multiplication module, ring, submodule.

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Journal Info
PARAMETER: Jurnal Matematika dan Statistika dan Terapannya
Website

Abbrev

parameter

Publisher

Universitas Pattimura

Subject

Mathematics

Description

PARAMETER: Jurnal Matematika, Statistika dan Terapannya is an open access journal (e-journal) published since April 2022. PARAMETER is published by Department of Mathematics, Faculty of Science and Mathematics, Pattimura. PARAMETER published scientific articles on various aspects related to ...