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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Journal of the Indonesian Mathematical Society Jurnal Pendidikan Matematika Universitas Lampung Al-Jabar : Jurnal Pendidikan Matematika Limits: Journal of Mathematics and Its Applications Buana Matematika : Jurnal Ilmiah Matematika dan Pendidikan Matematika Surya Abdimas Hipotenusa: Journal of Research Mathematics Education (HJRME) Journal of Fundamental Mathematics and Applications (JFMA) Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya Jurnal Pengabdian Masyarakat Bangsa Jurnal Matematika Integratif Matrix: Jurnal Pendidikan Matematika
Dian Ariesta Yuwaningsih
Universitas Ahmad Dahlan, Indonesia
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Journal : JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI

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Seputar (R,S)-Submodul Prima-? Gabungan Dian Ariesta Yuwaningsih; Fayi Salsabila Sumaryati
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 2 (2023): JANUARY 2023
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i2.24291

Abstract

Given ? and ? be commutative ring with unity. The (?, ?)-bimodule structure has beengeneralized into the (?, ?)-module structure. Likewise, primeness in a module has also beengeneralized to the (?, ?)-module structure. However, the existing prime definition onlyfocuses on scalar multiplication operations in modules. The ?-prime submodule is one of thegeneralizations of the prime submodule, which involves additive operations and scalarmultiplication in the module. This article presents a generalization of the ?-prime submodulesinto the (?, ?)-module structure, hereinafter referred to as the jointly ?-prime (?, ?)-submodules. Furthermore, at the end of this article some properties of the jointly ?-prime(?, ?)-submodule are presented.
Co-Authors Aan Hendroanto Afifah Althafinisa Angga Dewanta Agastya Burhanudin Arif Nurnugroho Fayi Salsabila Sumaryati Ganis Anjui Mulidias Amru Indah Emilia Wijayanti Jodi Jodi Kaisar Pradipta Bhagaskara Muhammad Alfian Darmawan Puguh Wahyu Prasetyo, Puguh Reza Dwi Agustina Rima Aksen Cahdriyana Rusmining Rusmining Rusmining Rusmining Rusmining Sri Hidayati Syarifah Inayati W Widayati