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All Journal PARAMETER: Jurnal Matematika dan Statistika dan Terapannya
Emanuella M C Wattimena
Universitas Pattimura
Mathematics

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Some NECESSARY AND SUFFICIENT CONDITIONS OF COMULTIPLICATION MODULE Emanuella M C Wattimena; Henry W.M. Patty; Dyana Patty; Dorteus L. Rahakbauw
PARAMETER: Jurnal Matematika, Statistika dan Terapannya Vol 1 No 2 (2022): PARAMETER: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv1i2pp97-102

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.
Co-Authors Dorteus L. Rahakbauw Henry W. M. Patty Patty, Dyana