SIFAT-SIFAT MODUL NOETHERIAN
DOI:
https://doi.org/10.25077/jmu.9.2.121-129.2020Abstract
Diberikan R adalah suatu ring komutatif dengan unsur satuan dan M adalah suatu grup abelian (hampir selalu terhadap penjumlahan). Suatu modul atas ring R (Rmodul) adalah suatu grup abelian M yang dilengkapi dengan dua operasi dan memenuhi syarat-syarat tertentu. Suatu submodul S dari modul M analog dengan subgrup H dari grup G. Modul Noetherian merupakan salah satu jenis modul. Modul Noetherian merupakan modul yang memenuhi kondisi rantai naik (ascending chain condition) atas submodul-submodulnya. Modul yang dibangkitkan secara berhingga disebut dengan modul Noetherian. Penelitian ini bertujuan untuk memperoleh sifat-sifat dari modul Noetherian. Kata Kunci: Modul, Modul Noetherian, Kondisi rantai naik
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