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Volume 3 , Issue 1 , PP: 63-71, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review

Shawqi Al-lkami 1 * , Adel Al-Odhari 2

  • 1 Department of Mathematics, Faculty of Education and Sciences, Saba Region University, Yemen - (mnkl9191@usr.ac)
  • 2 Faculty of Education, Humanities and Applied Sciences (Khawlan), Yemen; Department of Foundations of Sciences, Faculty of Engineering, Sana'a University. Box:13509, Sana’a, Yemen - (a.aleidhri@su.edu.ye)

    • Doi: https://doi.org/10.54216/PAMDA.030105

    Received: January 05, 2024 Revised: March 14, 2024 Accepted June 10, 2024
    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 As :
    Al-lkami, Shawqi. , Al-Odhari, Adel. Characteristics Neutrosophic Homomorphism for Neutrosophic Rings: On Review. Prospects for Applied Mathematics and Data Analysis, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 63-71, 2024. DOI: https://doi.org/10.54216/PAMDA.030105

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