On the prime radicals of near-rings and near-ring modules

Groenewald, N. J.

doi:10.1142/9789813207363_0005

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2023

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“…Pada paper-paper sebelumnya telah dikerjakan beberapa topik yang berkaitan seperti pembahasan hasil generalisasi radikal prima pada near-ring dan near-modul [12], generalisasi dari near-ring [13], sifat-sifat near-ring [14], serta generalisasi near-modul reguler [15]. Lebih lanjut, generalisasi near-modul modifikasi faktor juga dibahas pada [9].…”

Section: Pendahuluanunclassified

Near-Modul Kuat Faktor

Fatimah

Darmawati²

2023

Jambura J. Math

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Near-ring is a generalization of ring. In ring theory, let R be a ring over addition and multiplication operation with unity element and G be a commutative group under addition operation. Then G together with scalar multiplication of R and holds several axioms called module over ring. Let N be a near-ring, here we can construct the module over near-ring called near-module. We have three definitions of module over near-ring, such that, near-module, modified near-module, and strong near-module. Then we showed that strong near-module can be constructed into strong near-module factor as well as module factor in G. Furthermore, we generalized the fundamental theorem of homomorphism in module over ring to strong near-module over strong near-ring.

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Section: Pendahuluanunclassified

Near-Modul Kuat Faktor

Fatimah

Darmawati²

2023

Jambura J. Math

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On the prime radicals of near-rings and near-ring modules

Cited by 1 publication

References 12 publications

Near-Modul Kuat Faktor

Near-Modul Kuat Faktor

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