Volume 4 • Issue 1 • PP: 01–08 • 2024
Characteristics Neutrosophic Ideals for Neutrosophic Rings: On Review
Open Access & Copyright
© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
View PDF Abstract
The main objective of this paper is to present a review study with more information on the neutrosophic Ideal, Principle Ideal, Prim Ideal, Pseudo Neutrosophic Ideal, Quotient ring, and Pseudo Quotient ring. Neutrosophic ring theory is a branch of neutrosophic Algebra which introduced by Florentin Smarandache in 2006.
Keywords
References
[1] A. A. A. Agboola, E. O. Adeleke, and S. A. Akinleye, “Neutrosophic rings II,” International Journal of Mathematics Combinatorics, vol. 2, pp. 1–8, 2012.
[2] A. A. A. Agboola, A. D. Akinola, and O. Y. Oyebola, “Neutrosophic rings I,” International Journal of Mathematics Combinatorics, vol. 4, pp. 1–14, 2011.
[3] A. M. Al-Odhari, “A review study on some properties of the structure of neutrosophic ring,” Neutrosophic Sets and Systems, vol. 54, pp. 139–156, 2023.
[4] A. M. Al-Odhari, “Some algebraic structure of neutrosophic matrices,” Prospects for Applied Mathematics and Data Analysis (PAMDA), vol. 1, no. 2, pp. 37–44, 2023.
[5] E. O. Adeleke, A. A. A. Agboola, and F. Smarandache, “Refined neutrosophic rings I,” International Journal of Neutrosophic Science, vol. 2, no. 2, pp. 77–81, 2020.
[6] M. Abobala, “Classical homomorphisms between refined neutrosophic rings and neutrosophic rings,” International Journal of Neutrosophic Science, vol. 5, no. 2, pp. 72–75, 2020.
[7] M. Abobala, “A study of nil ideals and kothe’s conjecture in neutrosophic rings,” International Journal of Mathematics and Mathematical Sciences, vol. 2021, pp. 1–5, 2021.
[8] K. D. Ahmad, M. Bal, A. A. Hajjari, and R. Ali, “Novel applications of neutrosophic AH-isometries to the group of units problem in neutrosophic rings and refined neutrosophic rings,” Journal of Neutrosophic and Fuzzy Systems, vol. 1, no. 2, pp. 89–98, 2021.
[9] A. Elrawy and M. Abdalla, “Results on a neutrosophic sub-rings,” AIMS Mathematics, vol. 8, no. 9, pp. 21 393– 21 405, 2023.
[10] W. B. V. Kandasamy and F. Smarandache, Neutrosophic Rings. Phoenix, Arizona: Hexis, 2006.
[11] W. B. V. Kandasamy, “Smarandache neutrosophic algebraic structures,” 2006.
[12] W. B. V. Kandasamy and F. Smarandache, Some Neutrosophic Algebraic Structures and Neutrosophic NAlgebraic Structures. Phoenix, Arizona: Hexis, 2006.
[13] J. J. Rotman, An Introduction to the Theory of Groups, 4th ed. New York: Springer-Verlag, 1995.
[14] J. J. Rotman, Advanced Modern Algebra. Pearson Education, 2002.
[15] F. Smarandache, “Neutrosophy, a new branch of philosophy, in multiple-valued logic,” Multiple-Valued Logic: An International Journal, vol. 8, no. 3, pp. 297–384, 2002.
Cite This Article
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.