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

Authors

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

DOI:

https://doi.org/10.20956/j.v19i2.24291

Keywords:

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

Abstract

Given ? and ? be commutative ring with unity. The (?, ?)-bimodule structure has been
generalized into the (?, ?)-module structure. Likewise, primeness in a module has also been
generalized to the (?, ?)-module structure. However, the existing prime definition only
focuses on scalar multiplication operations in modules. The ?-prime submodule is one of the
generalizations of the prime submodule, which involves additive operations and scalar
multiplication in the module. This article presents a generalization of the ?-prime submodules
into 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.

References

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Published

2023-01-05

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

Issue

Vol. 19 No. 2 (2023): JANUARY 2023

Section

Research Articles

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