ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access · Articles freely available online · $500 APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 18Issue 3PP: 59-71 • 2022

On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem

Malath F. Alaswa 1*
1Faculty of science,, Department,of mathematices,AL- Baath University, Homs,Syria
* Corresponding Author.
verified

Open Access & Copyright

© 2022 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 21, 2022 Accepted: April 13, 2022

Abstract

The objective of this paper is to study some novel algebraic properties of neutrosophic matrices. Also, this work introduces the concept of neutrosophic characteristic polynomial of a square neutrosophic matrix and the neutrosophic version of Cayley-Hamilton.On the other hand, we illustrate many examples about the validity of this work.

Keywords

Neutrosophic matrix neutrosophic Real number neutrosophic determinant neutrosophic inverse

References

[1] Olgun, N., Hatip, A., Bal, M., and Abobala, M.,  A Novel Approach To Necessary and Sufficient Conditions For The Diagonalization of Refined Neutrosophic Matrices, International Journal of Neutrosophic Science, Vol. 16, pp. 72-79, 2021.

 [2] M. Abobala. On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

[3] Dhar, M., Broumi, S., and, Smarandache F., A Note on Square Neutrosophic Fuzzy Matrices, Neutrosophic Sets and Systems'', Vol. 3, pp. 37-41 2014.

[4] Smarandache, F., Introduction to Neutrosophic Statistics, USA: Sitech & Education Publishing, 2014. 

[5]  Smarandache, F., Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Sets, Inter. J. Pure Appl. Math., pp. 287-297, 2005.

[6]  Kandasamy V, Smarandache F., and Kandasamy I., Special Fuzzy Matrices for Social Scientists . Printed in the United States of America,2007, book, 99 pages.

[7] Khaled, H., and Younus, A., and Mohammad, A.,  The Rectangle Neutrosophic Fuzzy Matrices, Faculty of Education Journal Vol. 15, 2019. (Arabic version).

 [8] Thomas, M. G.,  Convergence of Powers of a Fuzzy Matrix, J. Math. Annal. Appl. 57 , pp. 476-480, 1977.

[9] W. B. Vasantha Kandasamy Florentin Smarandache K. Ilanthenral, INTRODUCTION TO BIMATRICES, HEXIS, 2005.

[10]W. B. V. Kandasamy and F. Smarandache, Fuzzy Relational Maps and Neutrosophic Relational Maps, HEXIS Church Rock,p 302.

[11] Abobala, M., On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations, Mathematical Problems in Engineering, Hindawi, 2021

[12] Abobala, M., Bal, M., and Hatip, A., A Review On Recent Advantages In Algebraic Theory Of Neutrosophic MatricesInternational Journal of Neutrosophic Science, Vol. 17, 2021.

[13] Abobala, M., On The Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations, Journal of Mathematics, Hindawi, 2021. 

[14] Abobala, M., Hatip, A., Olgun, N., Broumi, S., Salama, A,A., and Khaled, E, H., The algebraic creativity In The Neutrosophic Square Matrices, Neutrosophic Sets and Systems, Vol. 40, pp. 1-11, 2021.

[15] F .Smarandache.; Introduction  to Neutrosophic statistics, Sitech-Education Publisher, PP:34-44. (2014).

 

Cite This Article

Choose your preferred format

format_quote
Alaswa, Malath F.. "On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem." International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, 2022, pp. 59-71. DOI: https://doi.org/10.54216/IJNS.180305
Alaswa, M. (2022). On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. International Journal of Neutrosophic Science, Volume 18(Issue 3), 59-71. DOI: https://doi.org/10.54216/IJNS.180305
Alaswa, Malath F.. "On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem." International Journal of Neutrosophic Science Volume 18, no. Issue 3 (2022): 59-71. DOI: https://doi.org/10.54216/IJNS.180305
Alaswa, M. (2022) 'On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem', International Journal of Neutrosophic Science, Volume 18(Issue 3), pp. 59-71. DOI: https://doi.org/10.54216/IJNS.180305
Alaswa M. On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. International Journal of Neutrosophic Science. 2022;Volume 18(Issue 3):59-71. DOI: https://doi.org/10.54216/IJNS.180305
M. Alaswa, "On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem," International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, pp. 59-71, 2022. DOI: https://doi.org/10.54216/IJNS.180305
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready