KARAKTERISTIK IDEAL PADA SEMINEAR-RING DAN SEMINEAR-RING SEDERHANA

Authors

  • Meryta Febrilian Fatimah Universitas Sulawesi Barat
  • Ahmad Ansar Program Studi Matematika, FMIPA, Universitas Sulawesi Barat

DOI:

https://doi.org/10.30605/proximal.v5i1.1488

Keywords:

seminear-ring, ideal prima, ideal semiprima, seminear-ring sederhana

Abstract

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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References

Atani, R. E. (2013). Generalizations of Prime Ideals of Semirings. Azerbaijan Journal of Mathematics, 76-83.

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Hussain, F., Tahir, M., Abdullah, S., & Sadiq, N. (2016). Quotient Seminear-Rings. Indian Journal of Science and Technology, 1-7.

Malik, D., Mordeson, J. S., & Sen, M. (1997). Fundamentals of Abstract Algebra. United States of America: The Mc Graw-Hill Companies, Inc.

Perumal, R., Arulprakasam, R., & Radhakrishnan, M. (2018). A note on Ideals in Seminear-Rings. National Conference on Mathematical Techniques and Its Applications, 1-6.

Pilz, G. (1983). Near-Rings. Amsterdam: North-Holland Publishing Company.

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Published

2022-02-10

How to Cite

Meryta Febrilian Fatimah, & Ahmad Ansar. (2022). KARAKTERISTIK IDEAL PADA SEMINEAR-RING DAN SEMINEAR-RING SEDERHANA. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 5(1), 38–48. https://doi.org/10.30605/proximal.v5i1.1488

Issue

Vol. 5 No. 1 (2022): Volume 5 Nomor 1 Tahun 2022

Section

Articles

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