The Decomposition Theorems Of Ag Neutrosophic Extended Triplet Loops And Strong Ag L L Loops
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The Decomposition Theorems of AG Neutrosophic Extended Triplet Loops and Strong AG l l Loops
Author | : Xiaoying Wu,Xiaohong Zhang |
Publsiher | : Infinite Study |
Total Pages | : 12 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download The Decomposition Theorems of AG Neutrosophic Extended Triplet Loops and Strong AG l l Loops Book in PDF, Epub and Kindle
In this paper, some new properties of Abel Grassmann‘s Neutrosophic Extended Triplet Loop (AG-NET-Loop) were further studied. The following important results were proved: (1) an AG-NET-Loop is weakly commutative if, and only if, it is a commutative neutrosophic extended triplet (NETG); (2) every AG-NET-Loop is the disjoint union of its maximal subgroups. At the same time, the new notion of Abel Grassmann’s (l, l)-Loop (AG-(l, l)-Loop), which is the Abel-Grassmann’s groupoid with the local left identity and local left inverse, were introduced. The strong AG-(l, l)-Loops were systematically analyzed, and the following decomposition theorem was proved: every strong AG-(l, l)-Loop is the disjoint union of its maximal sub-AG-groups.
The Decomposition Theorems of AG Neutrosophic Extended Triplet Loops and Strong AG l l Loops
Author | : Xiaoying Wu , Xiaohong Zhang |
Publsiher | : Infinite Study |
Total Pages | : 12 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download The Decomposition Theorems of AG Neutrosophic Extended Triplet Loops and Strong AG l l Loops Book in PDF, Epub and Kindle
In this paper, some new properties of Abel Grassmann‘s Neutrosophic Extended Triplet Loop (AG-NET-Loop) were further studied.
Study of Two Kinds of Quasi AG Neutrosophic Extended Triplet Loops
Author | : Xiaogang An, Mingming Chen |
Publsiher | : Infinite Study |
Total Pages | : 10 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download Study of Two Kinds of Quasi AG Neutrosophic Extended Triplet Loops Book in PDF, Epub and Kindle
Abel-Grassmann’s groupoid and neutrosophic extended triplet loop are two important algebraic structures that describe two kinds of generalized symmetries. In this paper, we investigate quasi AG-neutrosophic extended triplet loop, which is a fusion structure of the two kinds of algebraic structures mentioned above.
Generalized Abel Grassmann s Neutrosophic Extended Triplet Loop
Author | : Xiaogang An,Xiaohong Zhang,Yingcang Ma |
Publsiher | : Infinite Study |
Total Pages | : 20 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download Generalized Abel Grassmann s Neutrosophic Extended Triplet Loop Book in PDF, Epub and Kindle
A group is an algebraic system that characterizes symmetry. As a generalization of the concept of a group, semigroups and various non-associative groupoids can be considered as algebraic abstractions of generalized symmetry.
Cyclic Associative Groupoids CA Groupoids and Cyclic Associative Neutrosophic Extended Triplet Groupoids CA NET Groupoids
Author | : Xiaohong Zhang,Zhirou Ma,Wangtao Yuan |
Publsiher | : Infinite Study |
Total Pages | : 11 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download Cyclic Associative Groupoids CA Groupoids and Cyclic Associative Neutrosophic Extended Triplet Groupoids CA NET Groupoids Book in PDF, Epub and Kindle
Group is the basic algebraic structure describing symmetry based on associative law. In order to express more general symmetry (or variation symmetry), the concept of group is generalized in various ways, for examples, regular semigroups, generalized groups, neutrosophic extended triplet groups and AG-groupoids. In this paper, based on the law of cyclic association and the background of non-associative ring, left weakly Novikov algebra and CA-AG-groupoid, a new concept of cyclic associative groupoid (CA-groupoid) is firstly proposed, and some examples and basic properties are presented. Moreover, as a combination of neutrosophic extended triplet group (NETG) and CA-groupoid, the notion of cyclic associative neutrosophic extended triplet groupoid (CA-NET-groupoid) is introduced, some important results are obtained, particularly, a decomposition theorem of CA-NET-groupoid is proved.
Neutrosophic Sets and Systems Vol 33 2020
Author | : Florentin Smarandache,Mohamed Abdel-Basset |
Publsiher | : Infinite Study |
Total Pages | : 353 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download Neutrosophic Sets and Systems Vol 33 2020 Book in PDF, Epub and Kindle
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: Extension of HyperGraph to n-SuperHyperGraph and to Plithogenic n-SuperHyperGraph, and Extension of HyperAlgebra to n-ary (Classical-/Neutro-/Anti-)HyperAlgebra, Neutrosophic Triplet Partial Bipolar Metric Spaces, The Neutrosophic Triplet of BI-algebras.
Neutrosophic Sets and Systems Book Series Vol 33 2020 An International Book Series in Information Science and Engineering
Author | : Florentin Smarandache,Mohamed Abdel-Basset |
Publsiher | : Infinite Study |
Total Pages | : 341 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download Neutrosophic Sets and Systems Book Series Vol 33 2020 An International Book Series in Information Science and Engineering Book in PDF, Epub and Kindle
Contributors to current issue (listed in papers’ order): Atena Tahmasbpour Meikola, Arif Mehmood, Wadood Ullah, Said Broumi, Muhammad Imran Khan, Humera Qureshi, Muhammad Ibrar Abbas, Humaira Kalsoom, Fawad Nadeem, T. Chalapathi, L. Madhavi, R. Suresh, S. Palaniammal, Nivetha Martin, Florentin Smarandache, S. A. Edalatpanah, Rafif Alhabib, A. A. Salama, Memet Şahin, Abdullah Kargın, Murat Yücel, Dimacha Dwibrang Mwchahary, Bhimraj Basumatary, R. S. Alghamdi, N. O. Alshehri, Shigui Du, Rui Yong, Jun Ye, Vasantha Kandasamy, Ilanthenral Kandasamy, Muhammad Saeed, Muhammad Saqlain, Asad Mehmood, Khushbakht Naseer, Sonia Yaqoob, Sudipta Gayen, Sripati Jha, Manoranjan Kumar Singh, Ranjan Kumar, Huseyin Kamaci, Shawkat Alkhazaleh, Anas Al-Masarwah, Abd Ghafur Ahmad, Merve Sena Uz, Akbar Rezaei, Mohamed Grida, Rehab Mohamed, Abdelnaser H. Zaid.
Neutrosophic Quadruple Algebraic Codes over Z2 and their Properties
Author | : Vasantha Kandasamy,Ilanthenral Kandasamy ,Florentin Smarandache |
Publsiher | : Infinite Study |
Total Pages | : 14 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download Neutrosophic Quadruple Algebraic Codes over Z2 and their Properties Book in PDF, Epub and Kindle
In this paper we for the rst time develop, de ne and describe a new class of algebraic codes using Neutrosophic Quadruples which uses the notion of known value, and three unknown triplets (T; I; F) where T is the truth value, I is the indeterminate and F is the false value.