HIMPUNAN SISTEM-m_Ξ² DAN RADIKAL PRIMA-Ξ² GABUNGAN SUATU (R,S)-MODUL
Submodul prima gabungan pada (R,S)-modul telah mengalami perumuman menjadi submodul prima-π½ gabungan. Keprimaan pada suatu (R,S)-modul tidak terlepas dari radikal primanya. Di sisi lain, radikal prima tidak terlepas dari himpunan tertutup multiplikatifnya. Pada penelitian ini disajikan definisi himpunan tertutup multiplikatif pada (R,S)-modul relatif terhadap submodul prima-π½ gabungan, yang selanjutnya disebut himpunan sistem-ππ½. Kemudian ditunjukkan bahwa himpuan sistem-ππ½ merupakan komplemen dari suatu (R,S)-submodul prima-π½ gabungan. Selain itu, didefinisikan pula radikal prima-π½ gabungan pada (R,S)-modul dan disajikan pula beberapa sifatnya. Pada akhir penelitian ini ditunjukkan bahwa pada (R,S)-modul perkalian kiri π, radikal prima-π½ gabungan dari irisan dua (R,S)-submodul di π sama dengan irisan dua radikal prima-π½ gabungan dari masing-masing (R,S)-submodulnya.
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