2836-4449ISSN (Online)
Volume 4 , Issue 1 , PP: 01-13, 2024 | Cite this article as | XML | Html | PDF | Full Length Article
Shawqi Al-lkami 1 * , Adel Al-Odhari 2
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.
Neutrosophic ring , Neutrosophic ideals , Types of Neutrosophic Ideals , Neutrosophic Quotient ring , Pseudo Neutrosophic Quotient Rings.
[1] Agboola, A. A., Adeleke, E. O., & Akinleye, A. A. (2012). Neutrosophic Rings II. International J.Math. Combin, 2, 1-8.
[2] Agboola, A. A., Akinola, A. D., & Oyebola, O. Y. (2011). Neutrosophic Rings I. International J.Math. Combin, 4, 1-14.
[3] Al-Odhari, A. M. (2023). A Review Study on Some Properties of The Structure of Neutrosophic Ring. Neutrosophic Sets and Systems, 54, 139-156. doi:DOI:10.5281/zenodo.7817736
[4] Al-Odhari, A. M. (2023). Some Algebraic Structure of Neutrosophic Matrices. Prospects for Applied Mathematics and data Analysis (PAMDA), 01(02), 37-44. doi:https://doi.org/10.54216/PAMDA.010204
[5] Al-Odhari, A. M. (2024). Axiomatic of Neutrosophic Groups. Sana'a University Journal of Applied Sciences and Technology, 2(2), 205-214. doi:https://doi.org/10.59628/jast.v2i2.793
[6] Al-Odhari, A. M. (2024). Basic Introduction of Neutrosophic Set Theory. Plithogenic Logic and Computation, 2, 20-28. doi:10.61356/j.plc.2024.2327
[7] Al-Odhari, A. M. (2024). Characteristics Neutrosophic Subgroups of Axiomatic Neutrosophic Groups. Neutrosophic Optimization and Intelligent Systems, 3, 32-40. doi:10.61356/j.nois.2024.3265
[8] Al-Odhari, A. M. (2024). On the Generalization of Neutrosophic Set Operations: Testing Proofs by Examples. HyperSoft Set Methods in Engineering, 2, 72-82. doi:10.61356/j.hsse.2024.2321
[9] Al-Odhari, A. M. (2024). Some Aspects of Neutrosophic Set Theory. to apear.
[10] Kandasamy, V. W., & Smarandache, F. (2006). Neutrosophic Rings. Hexis, Phoenix,Arizona.
[11] Kandasamy, W. B. (2006). SMARANDACHE NEUTROSOPHIC ALGEBRAIC STRUCTURES. Retrieved from http://mat.iitm.ac.in/~wbv
[12] Kandasmy, W. B., & Smaradache, F. (2006). Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures. Hexis, Phoenix, Arizona. Retrieved from https://arxiv.org/ftp/math/papers/0603/0603581.pdf
[13] Rotman, J. J. ( 1995). An Introduction to Theory of Group Theory (Fourth Edition ed.). Springer-Verlag New York. NC.
[14] Rotman, J. J. (2002). Advanced Modern Algebra. Pearson Education.
[15] Smarandache, F. (2002). Neutrosophy, A New Branch of Philosophy, in Multiple-Valued Logic. An International Journal, 8(3), 297-384.
