KARAKTERISTIK IDEAL PADA SEMINEAR-RING DAN SEMINEAR-RING SEDERHANA
DOI:
https://doi.org/10.30605/proximal.v5i1.1488Keywords:
seminear-ring, ideal prima, ideal semiprima, seminear-ring sederhanaAbstract
Diberikan seminear-ring $S$. Seminear-ring merupakan hasil generalisasi dari semiring dan near-ring. Ideal pada seminear-ring $S$ didefinisikan dengan cara yang sama seperti ideal pada semiring. Pada seminear-ring $S$ terdapat beberapa jenis ideal yaitu ideal prima, ideal semiprima, ideal prima lengkap dan ideal semiprima lengkap. Ideal kiri (kanan) $Sa(aS)=S$ berakibat seminear-ring sederhana kiri (kanan). Jika $(Sa)S=S$ maka $S$ merupakan seminear-ring sederhana. Konsep ideal pada seminear-ring akan diperkenalkan lebih khusus pada penelitian ini.
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