On Neutrosophic Extended Triplet Groups Loops And Abel Grassmann S Groupoids Ag Groupoids

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On Neutrosophic Extended Triplet Groups Loops And Abel Grassmann S Groupoids Ag Groupoids
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Author : Xiaohong Zhang
language : en
Publisher: Infinite Study
Release Date :
On Neutrosophic Extended Triplet Groups Loops And Abel Grassmann S Groupoids Ag Groupoids written by Xiaohong Zhang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
From the perspective of semigroup theory, the characterizations of a neutrosophic extended triplet group (NETG) and AG-NET-loop (which is both an Abel-Grassmann groupoid and a neutrosophic extended triplet loop) are systematically analyzed and some important results are obtained. In particular, the following conclusions are strictly proved: (1) an algebraic system is neutrosophic extended triplet group if and only if it is a completely regular semigroup; (2) an algebraic system is weak commutative neutrosophic extended triplet group if and only if it is a Clifford semigroup; (3) for any element in an AG-NET-loop, its neutral element is unique and idempotent; (4) every AG-NET-loop is a completely regular and fully regular Abel-Grassmann groupoid (AG-groupoid), but the inverse is not true. Moreover, the constructing methods of NETGs (completely regular semigroups) are investigated, and the lists of some finite NETGs and AG-NET-loops are given.
Generalized Abel Grassmann S Neutrosophic Extended Triplet Loop
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Author : Xiaogang An
language : en
Publisher: Infinite Study
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Generalized Abel Grassmann S Neutrosophic Extended Triplet Loop written by Xiaogang An and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
The Decomposition Theorems Of Ag Neutrosophic Extended Triplet Loops And Strong Ag L L Loops
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Author : Xiaoying Wu
language : en
Publisher: Infinite Study
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The Decomposition Theorems Of Ag Neutrosophic Extended Triplet Loops And Strong Ag L L Loops written by Xiaoying Wu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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
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Author : Xiaogang An
language : en
Publisher: Infinite Study
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Study Of Two Kinds Of Quasi Ag Neutrosophic Extended Triplet Loops written by Xiaogang An and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Cyclic Associative Groupoids Ca Groupoids And Cyclic Associative Neutrosophic Extended Triplet Groupoids Ca Net Groupoids
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Author : Xiaohong Zhang
language : en
Publisher: Infinite Study
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Cyclic Associative Groupoids Ca Groupoids And Cyclic Associative Neutrosophic Extended Triplet Groupoids Ca Net Groupoids written by Xiaohong Zhang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Generalized Neutrosophic Extended Triplet Group
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Author : Yingcang Ma
language : en
Publisher: Infinite Study
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Generalized Neutrosophic Extended Triplet Group written by Yingcang Ma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Neutrosophic extended triplet group is a new algebra structure and is different from the classical group. In this paper, the notion of generalized neutrosophic extended triplet group is proposed and some properties are discussed.
Regular Ca Groupoids And Cyclic Associative Neutrosophic Extended Triplet Groupoids Ca Netgroupoids With Green Relations
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Author : Wangtao Yuan
language : en
Publisher: Infinite Study
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Regular Ca Groupoids And Cyclic Associative Neutrosophic Extended Triplet Groupoids Ca Netgroupoids With Green Relations written by Wangtao Yuan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Based on the theories of AG-groupoid, neutrosophic extended triplet (NET) and semigroup, the characteristics of regular cyclic associative groupoids (CA-groupoids) and cyclic associative neutrosophic extended triplet groupoids (CA-NET-groupoids) are further studied, and some important results are obtained.
Neutrosophic Sets And Systems Book Series Vol 29 2019
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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Neutrosophic Sets And Systems Book Series Vol 29 2019 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
“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.
Neutrosophic Sets And Systems Vol 29 2019
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Sets And Systems Vol 29 2019 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
“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.
New Development Of Neutrosophic Probability Neutrosophic Statistics Neutrosophic Algebraic Structures And Neutrosophic Plithogenic Optimizations
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-09-01
New Development Of Neutrosophic Probability Neutrosophic Statistics Neutrosophic Algebraic Structures And Neutrosophic Plithogenic Optimizations written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Mathematics categories.
This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.