Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 7 , Issue 2 , PP: 31-33, 2023 | Cite this article as | XML | Html | PDF
Zahraa Hasan 1 *
Doi: https://doi.org/10.54216/GJMSA.070203
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.
Prime right ideal , Fully right prime , Ternary ring.
[1] Blair.W, Tsutsui. H,(1994)-Fully prime rings, Comm. Algebra 22 (13) p 5389-5400.
[2] Tsutsui.H,(1996) -Fully prime rings II, Comm Algebra, 24(9) Pp 2981-2989.
[3] H. H. Zettl, A Characterization of Ternary Rings of Operators, Advances in Math. 48 (1983), 117-143.
[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.
[5] AL-hamido.R, (2010)-Generalization of primary ideals in group Rings, Master thesis, Aleppo University.
[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
[11] M. Kaur, Z.J. Ruan, Local Properties of Ternary Rings of Operators and Their Linking C
*-Algebras, Journal of Functional Analysis 195 (2002), 262 - 305
