On Jointly ?-Prime (R,S)-Submodules


  • Dian Ariesta Yuwaningsih Universitas Ahmad Dahlan
  • Fayi Salsabila Sumaryati Universitas Ahmad Dahlan




prime, ?-prime, (?, ?)-module, ?-prime (?, ?)-submodule


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.


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How to Cite

Yuwaningsih, D. A., & Sumaryati, F. S. (2023). On Jointly ?-Prime (R,S)-Submodules. Jurnal Matematika, Statistika Dan Komputasi, 19(2), 423-432. https://doi.org/10.20956/j.v19i2.24291



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