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Prospects for Applied Mathematics and Data Analysis

ISSN
Online: 2836-4449
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Continuous publication

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

Prospects for Applied Mathematics and Data Analysis
Full Length Article

Volume 4Issue 1PP: 01-13 • 2024

Characteristics Neutrosophic Ideals For Neutrosophic Rings: On Review

Shawqi Al-lkami 1* ,
Adel Al-odhari 2
1Department of Mathematics; Faculty of Education and Sciences; Saba Region University; Yemen
2Faculty of Education, Humanities and Applied Sciences (Khawlan), Yemen; and Department of Foundations of Sciences, Faculty of Engineering, Sana'a University. Box:13509, Sana'a, Yemen
* Corresponding Author.

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

Neutrosophic ring Neutrosophic ideals Types of Neutrosophic Ideals Neutrosophic Quotient ring Pseudo Neutrosophic Quotient Rings.

References

[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.

Cite This Article

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Al-lkami, Shawqi, Al-odhari, Adel. "Characteristics Neutrosophic Ideals For Neutrosophic Rings: On Review." Prospects for Applied Mathematics and Data Analysis, vol. Volume 4, no. Issue 1, 2024, pp. 01-13. DOI: https://doi.org/10.54216/PAMDA.040101
Al-lkami, S., Al-odhari, A. (2024). Characteristics Neutrosophic Ideals For Neutrosophic Rings: On Review. Prospects for Applied Mathematics and Data Analysis, Volume 4(Issue 1), 01-13. DOI: https://doi.org/10.54216/PAMDA.040101
Al-lkami, Shawqi, Al-odhari, Adel. "Characteristics Neutrosophic Ideals For Neutrosophic Rings: On Review." Prospects for Applied Mathematics and Data Analysis Volume 4, no. Issue 1 (2024): 01-13. DOI: https://doi.org/10.54216/PAMDA.040101
Al-lkami, S., Al-odhari, A. (2024) 'Characteristics Neutrosophic Ideals For Neutrosophic Rings: On Review', Prospects for Applied Mathematics and Data Analysis, Volume 4(Issue 1), pp. 01-13. DOI: https://doi.org/10.54216/PAMDA.040101
Al-lkami S, Al-odhari A. Characteristics Neutrosophic Ideals For Neutrosophic Rings: On Review. Prospects for Applied Mathematics and Data Analysis. 2024;Volume 4(Issue 1):01-13. DOI: https://doi.org/10.54216/PAMDA.040101
S. Al-lkami, A. Al-odhari, "Characteristics Neutrosophic Ideals For Neutrosophic Rings: On Review," Prospects for Applied Mathematics and Data Analysis, vol. Volume 4, no. Issue 1, pp. 01-13, 2024. DOI: https://doi.org/10.54216/PAMDA.040101
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