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Prospects for Applied Mathematics and Data Analysis

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Prospects for Applied Mathematics and Data Analysis
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Volume 3 • Issue 1 • PP: 63-71 • 2024

Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review

Shawqi Al-lkami 1*
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,
Adel Al-odhari 2
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1Department of Mathematics, Faculty of Education and Sciences, Saba Region University, Yemen
2Faculty of Education, Humanities and Applied Sciences (Khawlan), Yemen; Department of Foundations of Sciences, Faculty of Engineering, Sana'a University. Box:13509, Sana’a, Yemen
* Corresponding Author.
DOI https://doi.org/10.54216/PAMDA.030105
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 05, 2024 Revised: March 14, 2024 Accepted June 10, 2024
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Abstract

The objective of this paper is to present and study elementary properties for concept a neutrosophic ring homomorphism and isomorphism which introduced by Florentine Smarandache in 2006. We will use a concept ring homomorphism and isomorphism in classical ring.

Keywords

Neutrosophic ring Neutrosophic ideal ring Neutrosophic quotient ring Neutrosophic ring homomorphism Neutrosophic ring isomorphism

References

[1] V. W. S. F. Kandasamy, NEUTROSOPHIC RINGS, Hexis,Phoenix,Arizona., 2006.

[2] W. B. S. F. Kandasmy, Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures, Hexis, Phoenix, Arizona, 2006.

[3] A. A. A. A. D. O. O. Y. Agboola, "Neutrosophic Rings I," International J.Math, pp. 1-14, 2011.

[4] A. A. A. E. O. A. A. A. Agboola, " Neutrosophic Rings II," International J.Math, pp. 1-8, 2012.

[5] A. M. Al-Odhari, "Some Algebraic Structure of Neutrosophic Matrices," Prospects for Applied Mathematics and data Analysis (PAMDA), pp. 37-44, 2023.

[6] A. M. Al-Odhari, "A Review Study on Some Properties of The Structure of NeutroSophicRing," NeutrosophicSets and Systems, pp. 139-156, 2023.

[7] G. T. Lee, Abstract Algebra An Introductory Course, Department of Mathematical Sciences Lakehead University Thunder Bay, ON Canada, 2010.

[8] J. A. Gallian, Contemporary Abstract Algebra, University of Minnesota Duluth, (2017) NINTH EDITION.

[9] W. B. S. F. Kandasamy, Basic Neutrosophic Algebraic, United Statesof America: HEXIS Church Rock, 2004.

[10] A. M. P. M. I. A. R. N. Priya, "Some properties of neutrosophic nil radicals of neutrosophic ideals in rings," International Journal of Neutrosophic Science (IJNS), 2024.

[11] J. J. Rotman, An Introduction to Theory of Group Theory, (Fourth Edition ed.), Springer-Verlag New York. NC, 1995.

[12] J. J. Rotman, Advanced Modern Algebra, Pearson Education, 2002.

[13] L. Saha, "A Study on Characteristic of Rings," International Journal of MathematicsTrends and Technology, 2021.

[14] F. Smarandache, "Neutrosophy, A New Branch of Philosophy, in Multiple-Valued Logic," An International Journal, 2002.

[15] F. Smarandache, "Indeterminacy in Neutrosophic Theories and their Applications," International Journal of Neutrosophic Science (IJNS), 2021.

[16] Y. M, Abstract Algebra Groups, Rings and Fields, Advanced Group Theory,Modules and Noetherian Rings, Field Theory, Department of Mathematics and Computer Science Faculty of Science, Chulalongkorn University, Bangkok, 10330 Thailand, 2015.

[17] M. Abobala, "Classical Homomorphisms Between Refined Neutrosophic Rings and Neutrosophic Rings," International Journal of Neutrosophic Science (IJNS), pp. 5(2) 72-75., 2020.

[18] S. Al-lkami and A. Al-Odhari, "Characteristics Neutrosophic Ideals For Neutrosophic Rings: On Review," to appear.

Cite This Article

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Al-lkami, Shawqi, Al-odhari, Adel. "Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review." Prospects for Applied Mathematics and Data Analysis, vol. Volume 3, no. Issue 1, 2024, pp. 63-71. DOI: https://doi.org/10.54216/PAMDA.030105
Al-lkami, S., Al-odhari, A. (2024). Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review. Prospects for Applied Mathematics and Data Analysis, Volume 3(Issue 1), 63-71. DOI: https://doi.org/10.54216/PAMDA.030105
Al-lkami, Shawqi, Al-odhari, Adel. "Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review." Prospects for Applied Mathematics and Data Analysis Volume 3, no. Issue 1 (2024): 63-71. DOI: https://doi.org/10.54216/PAMDA.030105
Al-lkami, S., Al-odhari, A. (2024) 'Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review', Prospects for Applied Mathematics and Data Analysis, Volume 3(Issue 1), pp. 63-71. DOI: https://doi.org/10.54216/PAMDA.030105
Al-lkami S, Al-odhari A. Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review. Prospects for Applied Mathematics and Data Analysis. 2024;Volume 3(Issue 1):63-71. DOI: https://doi.org/10.54216/PAMDA.030105
S. Al-lkami, A. Al-odhari, "Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review," Prospects for Applied Mathematics and Data Analysis, vol. Volume 3, no. Issue 1, pp. 63-71, 2024. DOI: https://doi.org/10.54216/PAMDA.030105
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