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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Open Access Research Article

Neutrosophic invariant rings related with some applications

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pp. 1555–1559Vol. 27Issue 5August 2024DOI: 10.47974/JDMSC-1937 Crossmark XML
Received:
13 Nov 2023
Published Online:
26 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1937
Pages:
1555–1559

Abstract

This article gives some new results of a notion namely neutrosophic invariant ring (NIR) and their relationship with an important module named multiplication module. Other properties have been presented in this paper. We proved (NC)-module over neutrosophic invariant ring is neutrosophic multiplication module. Also, neutrosophic f.generated is neutrosophic multiplication module over invariant ring. Finally, some remarks, examples and properties have introduced in this article.

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

References

[1] Tuganbaev, A. A., “multiplication modules,” Journal of Mathematical Sciences, Vol. 123, No. 2 (2004).
[2] Fawzi, N. H. and Majid Mohammed Abed, A New Results of Injective Module with Divisible Property, Journal of Physics: Conference Series 1818, 012168 (2021).
[3] Amnah Mahmood. Saleh & Majid Mohammed Abed, On pseudo valuation module and injectivity property Amnah M. Journal of Discrete Mathematical Sciences and Cryptography, Vol. 25, No. 8-B, pp. 2753–2757 (2022).
[4] Vasatha Kandasamy W.B. and Smarandache, F., “some Neutrosophic Algebra Structures and Neutrosophic N-Algebraic Structures,” Hexis, Church Rock (2006).
[5] Shaymaa Esa Sarhan & Majid Mohammed Abed, On simple submodules and C-rings, Journal of Discrete Mathematical Sciences and Cryptography, Vol. 25, No. 8-B, pp. 2747–2751 (2022).
[6] Fatema F. K. and Majid Mohammed Abed, Generalizations of Fuzzy k-ideals in a KU-algebra with Semigroup, Journal of Physics: Conference Series 1879022108 (2021).
[7] Vasatha Kandasamy W.B. and Smarandache, F., “Basic Neutrosophic and their Application to Fuzzy and Neutrosophic module,” Hexis, Church Rock (2004).
[8] Vasatha Kandasamy W.B., Smarandache Semigroups, American Research Press, Rehoboth, NM (2002).
[9] Vildan Cetkin, Banu Pazar Varol & Halis Aygun, “On neutrosophic submodules of a modules,” Hacettepe Journal of Mathematics and Statistics, Volume 46 (5), 791-799 (2017).
[10] Hasan Sankari and Mohammad Abobala, “n-Refined Neutrosophic modules,” Neutrosophic Sets and System, Vol. 36 (2020).
[11] Riyam Kalaf Manfe & Majid Mohammed Abed, Some results of topological rings, Journal of Interdisciplinary Mathematics, Vol. 25, No. 6, pp. 1869–1873 (2022).
[12] Majid Mohammed Abed, Faisal Al-Sharqi & Saad H. Zail, “Injective modules, projective modules and their relationships to some rings,” AIP: Conference Proceedings 2472, 030002, 19 August (2022).
[13] Mohammad Abobala, “Semi Homomorphisms and Algebraic Relations Between Strong Refind Neutrosophic modules and Strong Neutrosophic modules,” Neutrosophic Sets and Systems, Vol. 39 (2021). 

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