429 214
Full Length Article
Volume 7 , Issue 2, PP: 79-86 , 2020

Title

AH-Substructures in Neutrosophic Modules

Authors Names :   Mohammad Abobala   1 *     Riad K. Alhamido   2  

1  Affiliation :  Faculty of Science, Tishreen University, Lattakia, Syria

    Email :  mohammadabobala777@gmail.com


2  Affiliation :  Faculty of Science, Alfurat University, Deir Elzor, Syria

    Email :  Riad-hamido1983@hotmail.com



Doi   :  10.5281/zenodo.3879702


Abstract :

This article introduces the concept of AH-submodule, AHS-submodule of a neutrosophic module, and AHS-homomorphism. This work presents some basic notions and properties of these concepts such as AH-Kernel, AH-Quotient, and dimension, and determines the algebraic structure of weak neutrosophic module over a commutative ring R. 

Keywords :

Neutrosophic module , AH-submodule , AHS-submodule , AH-Quotient

References :

[1] Abdel-Basset, M., Mai M., Mohamed E., Francisco C., and Abd El-Nasser, H. Z., "Cosine Similarity Measures of Bipolar Neutrosophic Set for Diagnosis of Bipolar Disorder Diseases", Artificial Intelligence in Medicine 101, 2019 , 101735.

[2] Abdel-Basset, M., Mohamed E., Abduallah G., and Florentin S., "A Novel Model for Evaluation Hospital Medical Care Systems Based on Plithogenic Sets" Artificial Intelligence in Medicine 100 2019, 101710.

[3] Abdel-Basset, M., Gunasekaran M., Abduallah G., and Victor C., "A Novel Intelligent Medical Decision Support Model Based on Soft Computing and IoT", IEEE Internet of Things Journal , 2019.

[4] Abdel-Basset, M., Abduallah G., Gunasekaran M., and Hoang Viet L., "A Novel Group Decision Making Model Based on Neutrosophic Sets for Heart Disease Diagnosis", Multimedia Tools and Applications , 1-26, 2019.

 [5] Abobala, M.,  "On Some Special Substructures of Neutrosophic Rings and Their Properties", International Journal of Neutrosophic Science", Vol. 4 , pp.72-81, 2020.

[6] Abobala, M., "On Some Special Substructures of Refined Neutrosophic Rings", International Journal of     Neutrosophic Science, Vol. 5, pp.59-66, 2020.

[7] Abobala, M., "Classical Homomorphisms Between Refined Neutrosophic Rings and Neutrosophic Rings", International Journal of Neutrosophic Science, Vol. 5, pp.72-75, 2020.

[8] Abobala, M., " AH-Subspaces in Neutrosohic Vector Spaces", International Journal of Neutrosophic Science, Vol. 6, PP. 80-86, 2020.

[9] Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings I", International Journal of  Neutrosophic Science, Vol. 2 , pp.77-81, 2020.

[10] Agboola, A.A.A., and Akinleye, S.A., "Neutrosophic Vector Spaces", Neutrosophic Sets and Systems, Vol. 4 , pp. 9-17, 2014.

[11] Agboola, A.A.A., Akwu, A.D., and Oyebo, Y.T., "Neutrosophic Groups and Subgroups", International .J .Math.Combin, Vol. 3, pp. 1-9, 2012.

[12] Agboola, A.A.A., Akinola, A.D, and Oyebola, O.Y.," NeutrosophicRings I ", International J.Mathcombin, Vol. 4, pp. 1-14, 2011.

[13] Injrou, S., "Linear Algebra 2 ", Tishreen University Press, pp.180-230, 2015.

[14] Kandasamy, V.W.B., and Smarandache, F., "Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures", Hexis, Phonex, Arizona 2006.

[15] Olgan, N., and Khatib, A., "Neutrosophic Modules", Journal of Biostatistic and Biometric Application", Vol. 3, pp.1-16, 2018.