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Galoitica: Journal of Mathematical Structures and Applications

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Online: 2834-5568
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Continuous publication

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Open access journal. All articles are freely available online with no APC.

Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 7Issue 2PP: 31-33 • 2023

On Fully Right Prime Ternary Rings and Their Algebraic Properties

Zahraa Hasan 1*
1University Of Applied Science, Faculty of Literature and Science, Manama, Bahrain
* Corresponding Author.
Received: March 22, 2023 Revised: June 20, 2023 Accepted: August 19, 2023

Abstract

The objective of this paper to study some algebraic properties of ternary rings in which all of their proper right ideals are prime. Also, we characterize the relation between this class of ternary rings and the rings that all of their right ideals are weakly prime.

Keywords

Prime right ideal Fully right prime Ternary ring.

References

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[4] Hirano.Y, Poon.E. Tsutsui. H,(2010)-On ring in which every ideal is Weakly prime, Bull.Korean Math. Soc.47(5), p 1077-1087.

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[6] Ahmad M.K,(2010)-Rings with fully prime right ideals and group Rings in which every right ideal is Generalized right primary Right ideal, Research J of Aleppo University - vol 74, p 281-302.

[7] Kayyali.I,(2008)-S-Unital Semi-Group Rings and Pure Ideals in those Rings, Master Thesis, Aleppo University.

[8] Al-sarheed.M.O,(2014)- Fully right pure group rings, Master thesis, Al al-Bayt University.

[9] Lister,W.G,1971-Ternary rings, Trans. Amer . Math.Soc,Vol 154 pp.37-55.

[10] Dutta, T.K.and Kar, S, 2006-A Note on Regular Ternary semirings, Kyungpook Math. J.46 Pp 357-365

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*-Algebras, Journal of Functional Analysis 195 (2002), 262 - 305

Cite This Article

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Hasan, Zahraa. "On Fully Right Prime Ternary Rings and Their Algebraic Properties." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 7, no. Issue 2, 2023, pp. 31-33. DOI: https://doi.org/10.54216/GJMSA.070203
Hasan, Z. (2023). On Fully Right Prime Ternary Rings and Their Algebraic Properties. Galoitica: Journal of Mathematical Structures and Applications, Volume 7(Issue 2), 31-33. DOI: https://doi.org/10.54216/GJMSA.070203
Hasan, Zahraa. "On Fully Right Prime Ternary Rings and Their Algebraic Properties." Galoitica: Journal of Mathematical Structures and Applications Volume 7, no. Issue 2 (2023): 31-33. DOI: https://doi.org/10.54216/GJMSA.070203
Hasan, Z. (2023) 'On Fully Right Prime Ternary Rings and Their Algebraic Properties', Galoitica: Journal of Mathematical Structures and Applications, Volume 7(Issue 2), pp. 31-33. DOI: https://doi.org/10.54216/GJMSA.070203
Hasan Z. On Fully Right Prime Ternary Rings and Their Algebraic Properties. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 7(Issue 2):31-33. DOI: https://doi.org/10.54216/GJMSA.070203
Z. Hasan, "On Fully Right Prime Ternary Rings and Their Algebraic Properties," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 7, no. Issue 2, pp. 31-33, 2023. DOI: https://doi.org/10.54216/GJMSA.070203
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