A Kind Of Non Associative Groupoids And Quasi Neutrosophic Extended Triplet Groupoids Qnet Groupoids
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A Kind Of Non Associative Groupoids And Quasi Neutrosophic Extended Triplet Groupoids Qnet Groupoids
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Author : Xiaohong Zhang
language : en
Publisher: Infinite Study
Release Date :
A Kind Of Non Associative Groupoids And Quasi Neutrosophic Extended Triplet Groupoids Qnet 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.
The various generalized associative laws can be considered as generalizations of traditional symmetry. Based on the theories of CA-groupoid, TA-groupoid and neutrosophic extended triplet (NET), this paper first proposes a new concept, which is type-2 cyclic associative groupoid (shortly by T2CA-groupoid), and gives some examples and basic properties. Furthermore, as a combination of neutrosophic extended triplet group (NETG) and T2CAgroupoid, the notion of type-2 cyclic associative neutrosophic extended triplet groupoid (T2CANET-groupoid) is introduced, and a decomposition theorem of T2CA-NET-groupoid is proved. Finally, as a generalization of neutrosophic extended triplet group (NETG), the concept of quasi neutrosophic extended triplet groupoid (QNET-groupoid) is introduced, and the relationships among T2CA-QNET-groupoid, T2CA-NET-groupoid and CA-NET-groupoid are discussed.
Neutrosophic Sets And Systems An International Journal In Information Science And Engineering Vol 36 2020
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2020-10-01
Neutrosophic Sets And Systems An International Journal In Information Science And Engineering Vol 36 2020 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 2020-10-01 with Mathematics categories.
Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.
Neutrosophic Sets And Systems Vol 36 2020
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Sets And Systems Vol 36 2020 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. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.
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
Release Date :
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.
A Kind Of Variation Symmetry Tarski Associative Groupoids Ta Groupoids And Tarski Associative Neutrosophic Extended Triplet Groupoids Ta Netgroupoids
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Author : Xiaohong Zhang
language : en
Publisher: Infinite Study
Release Date :
A Kind Of Variation Symmetry Tarski Associative Groupoids Ta Groupoids And Tarski Associative Neutrosophic Extended Triplet Groupoids Ta Netgroupoids 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.
The associative law reflects symmetry of operation, and other various variation associative laws reflect some generalized symmetries. In this paper, based on numerous literature and related topics such as function equation, non-associative groupoid and non-associative ring, we have introduced a new concept of Tarski associative groupoid (or transposition associative groupoid (TAgroupoid)), presented extensive examples, obtained basic properties and structural characteristics, and discussed the relationships among few non-associative groupoids. Moreover, we proposed a new concept of Tarski associative neutrosophic extended triplet groupoid (TA-NET-groupoid) and analyzed related properties. Finally, the following important result is proved: every TA-NETgroupoid is a disjoint union of some groups which are its subgroups.
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.
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.
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
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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 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.
Groupoids Of Type I And Ii Using 0 N
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2014
Groupoids Of Type I And Ii Using 0 N written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
Study of algebraic structures built using [0, n) looks to be one of interesting and innovative research. Here we define two types of groupoids using [0, n), both of them are of infinite order. It is an open conjecture to find whether this new class of groupoids satisfy any of the special identities like Moufang identity or Bol identity and so on.