- Volume 9
- Issue 1
- (4) Articles
Stipan Podobnic
This paper is dedicated to finding all invertible elements (algebraic units) in 14 different finite neutrosophic rings modulo integers 𝑍𝑛(𝐼) for all 3≤n≤16. We arrange the elements of the group of units of each ring in a table called the units table of the ring.
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Doi: https://doi.org/10.54216/JNFS.090101
Vol. 9
Issue. 1
PP. 01-18, (2024)
Mohammad Abobala
,
Hasan Sankari
This paper is concerned with the study of the classification of 3-cyclic refined real vector spaces by semi-module isomorphisms, where we use this algebraic technique to find the algebraic relationship between real 3-cyclic refined vector spaces and classical vector spaces. Also, we define the inner products on these spaces and prove many related inequalities.
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Doi: https://doi.org/10.54216/JNFS.090102
Vol. 9
Issue. 1
PP. 19-27, (2024)
Ahmed Hatip
This paper is dedicated to define and study for the first time the concept of two-fold neutrosophic group by combining two-fold algebras with the classical concept of neutrosophic group. We study the elementary properties of this novel concept by many related theorems and illustrated examples.
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Doi: https://doi.org/10.54216/JNFS.090103
Vol. 9
Issue. 1
PP. 28-31, (2024)
Khaled Moaz
Let I be a right (left) ideal of a ring R, then R/I is a right (left) generalized m – flat module (GmF – module) if and only if for each a Î I , there exists b Î I and a fixed positive integer m such that . In this paper, we study the characterization and properties this class of flat modules, and we give the relation between this class and generalized m- flat modules and m– regular rings, reduced rings, reversible rings and uniform rings.
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Doi: https://doi.org/10.54216/JNFS.090104
Vol. 9
Issue. 1
PP. 32-35, (2024)
