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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: 37 –45 • 2023

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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© 2023 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. Phoenix, Arizona: Hexis, 2006.

[2] W. B. S. F. Kandasmy, Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures. Phoenix, Arizona: Hexis, 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] M. Abobala, A. Hatip, N. Olgun, S. Broumi, A. A. Salama, and H. E. Khaled, “The algebraic creativity in the neutrosophic square matrices,” Neutrosophic Sets and Systems, vol. 40, pp. 1–11, 2021.

[6] M. Abobala, “On some special substructures of neutrosophic rings and their properties,” International Journal of Neutrosophic Science (IJNS), vol. 4, no. 2, pp. 72–81,2020.

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

[8] J. A. Gallian, Contemporary Abstract Algebra, 9th ed. University of Minnesota Duluth, 2017.

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

[10] H. Sankari and M. Abobala, “AH-homomorphisms in neutrosophic rings and refined neutrosophic rings,” Neutrosophic Sets and Systems, vol. 38, pp. 524–536, 2020.

[11] J. J. Rotman, An Introduction to Theory of Group Theory, 4th 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 Mathematics Trends and Technology, 2021.

[14] F. Smarandache, “Neutrosophy, a new branch of philosophy, in multiple-valued logic,” An International Journal,

[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. Bangkok, 10330 Thailand: Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, 2015.

[17] M. Abobala, “Classical homomorphisms between refined neutrosophic rings and neutrosophic rings,” International Journal of Neutrosophic Science (IJNS), vol. 5, no. 2, pp. 72–75, 2020.

[18] 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.

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, 2023, pp. 37 –45. DOI: https://doi.org/10.54216/PAMDA.030105
Al-lkami, S., Al-odhari, A. (2023). Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review. Prospects for Applied Mathematics and Data Analysis, Volume 3(Issue 1), 37 –45. 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 (2023): 37 –45. DOI: https://doi.org/10.54216/PAMDA.030105
Al-lkami, S., Al-odhari, A. (2023) 'Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review', Prospects for Applied Mathematics and Data Analysis, Volume 3(Issue 1), pp. 37 –45. 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. 2023;Volume 3(Issue 1):37 –45. 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. 37 –45, 2023. DOI: https://doi.org/10.54216/PAMDA.030105
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