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| Author | : Vasantha Kandasamy |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : 2020-12-01 |
| Genre | : Mathematics |
| ISBN | : |
In this paper, authors define the NeutroAlgebra of neutrosophic triplets groups. We prove the existence theorem for NeutroAlgebra of neutrosophic triplet groups. Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 450 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 3038974765 |
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
| Author | : Akbar Rezaei |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : 2020-10-01 |
| Genre | : Mathematics |
| ISBN | : |
In this paper, the concepts of a Neutro-๐ต๐ผ-algebra and Anti-๐ต๐ผ-algebra are introduced, and some related properties are investigated. We show that the class of Neutro-๐ต๐ผ-algebra is an alternative of the class of ๐ต๐ผ-algebras.
| Author | : Florentin Smarandache |
| Publisher | : MDPI |
| Total Pages | : 450 |
| Release | : 2019-04-04 |
| Genre | : Mathematics |
| ISBN | : 3038974757 |
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
| Author | : Akbar Rezaei |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : 2020-05-12 |
| Genre | : Antiques & Collectibles |
| ISBN | : |
In this paper, the concepts of a Neutro-๐ต๐ผ-algebra and Anti-๐ต๐ผ-algebra are introduced, and some related properties are investigated. We show that the class of Neutro-๐ต๐ผ-algebra is an alternative of the class of ๐ต๐ผ-algebras.
| Author | : Mohammed A. Al Shumrani |
| Publisher | : Infinite Study |
| Total Pages | : 12 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper we study and develop the Neutrosophic Triplet Topology (NTT) that was recently introduced by Sahin et al. Like classical topology, the NTT tells how the elements of a set relate spatially to each other in a more comprehensive way using the idea of Neutrosophic Triplet Sets.
| Author | : Xiaohong Zhang |
| Publisher | : Infinite Study |
| Total Pages | : 23 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we further study neutrosophic triplet group. First, to avoid confusion, some new symbols are introduced, and several basic properties of neutrosophic triplet group are rigorously proved (because the original proof is awed), and a result about neutrosophic triplet subgroup is revised. Second, some new properties of commutative neutrosophic triplet group are funded, and a new equivalent relation is established. Third, based on the previous results, the following important propositions are proved: from any commutative neutrosophic triplet group, an Abel group can be constructed; from any commutative neutrosophic triplet group, a BCI-algebra can be constructed. Moreover, some important examples are given. Finally, by using any neutrosophic triplet subgroup of a commutative neutrosophic triplet group, a new congruence relation is established, and then the quotient structure induced by neutrosophic triplet subgroup is constructed and the neutro-homomorphism basic theorem is proved.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 219 |
| Release | : 2021-06-21 |
| Genre | : Architecture |
| ISBN | : |
A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.
| Author | : Moges Mekonnen Shalla |
| Publisher | : Infinite Study |
| Total Pages | : 76 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
This thesis discusses neutrosophic extended triplet (NET) direct product, semi-direct product and NET group actions. The aim is to give a clear introduction that provides a solid foundation for further studies into the subject. We introduce NET internal and external direct and semi-direct products for NET group by utilizing the notion of NET set theory of Smarandache. We also give examples and discuss their difference with the classical one.
| Author | : Mumtaz Ali |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Rings and fields are significant algebraic structures in algebra and both of them are based on the group structure. In this paper, we attempt to extend the notion of a neutrosophic triplet group to a neutrosophic triplet ring and a neutrosophic triplet field. We introduce a neutrosophic triplet ring and study some of its basic properties. Further, we define the zero divisor, neutrosophic triplet subring, neutrosophic triplet ideal, nilpotent integral neutrosophic triplet domain, and neutrosophic triplet ring homomorphism. Finally, we introduce a neutrosophic triplet field.
