Neutrosophic Soluble Groups Neutrosophic Nilpotent Groups And Their Properties

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Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties

Author : Mumtaz Ali
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties by : Mumtaz Ali

Download or read book Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties written by Mumtaz Ali and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of soluble groups and nilpotent groups is old and hence a generalized on. In this paper, we introduced neutrosophic soluble groups and neutrosophic nilpotent groups which have some kind of indeterminacy. These notions are generalized to the classic notions of soluble groups and nilpotent groups. We also derive some new type of series which derived some new notions of soluble groups and nilpotent groups. They are mixed neutrosophic soluble groups and mixed neutrosophic nilpotent groups as well as strong neutrosophic soluble groups and strong neutrosophic nilpotent groups.

Collected Papers. Volume IX

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4./5 ( download)

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Book Synopsis Collected Papers. Volume IX by : Florentin Smarandache

Download or read book Collected Papers. Volume IX written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-05-10 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.

Neutrosophic Multigroups and Applications

Author : Vakkas Uluçay
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Multigroups and Applications by : Vakkas Uluçay

Download or read book Neutrosophic Multigroups and Applications written by Vakkas Uluçay and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, fuzzy multisets and neutrosophic sets have become a subject of great interest for researchers and have been widely applied to algebraic structures include groups, rings, fields and lattices. Neutrosophic multiset is a generalization of multisets and neutrosophic sets. In this paper, we proposed a algebraic structure on neutrosophic multisets is called neutrosophic multigroups which allow the truth-membership, indeterminacy-membership and falsity-membership sequence have a set of real values between zero and one. This new notation of group as a bridge among neutrosophic multiset theory, set theory and group theory and also shows the effect of neutrosophic multisets on a group structure. We finally derive the basic properties of neutrosophic multigroups and give its applications to group theory.

New Research on Neutrosophic Algebraic Structures

Author : Mumtaz Ali
Publisher : Infinite Study
ISBN 13 : 1599733137
Total Pages : 335 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis New Research on Neutrosophic Algebraic Structures by : Mumtaz Ali

Download or read book New Research on Neutrosophic Algebraic Structures written by Mumtaz Ali and published by Infinite Study. This book was released on 2014 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we define several new neutrosophic algebraic structures and their related properties. The main focus of this book is to study the important class of neutrosophic rings such as neutrosophic LA-semigroup ring, neutrosophic loop ring, neutrosophic groupoid ring and so on. We also construct their generalization in each case to study these neutrosophic algebraic structures in a broader sense. The indeterminacy element “I“ gives rise to a bigger algebraic structure than the classical algebraic structures. It mainly classifies the algebraic structures in three categories such as: neutrosophic algebraic structures, strong neutrosophic algebraic structures, and classical algebraic structures respectively. This reveals the fact that a classic algebraic structure is a part of the neutrosophic algebraic structures. This opens a new way for the researcher to think in a broader way to visualize these vast neutrosophic algebraic structures.

An approach to neutrosophic subgroup and its fundamental properties

Author : Vildan Cetkin
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis An approach to neutrosophic subgroup and its fundamental properties by : Vildan Cetkin

Download or read book An approach to neutrosophic subgroup and its fundamental properties written by Vildan Cetkin and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we examine the group structure of single valued neutrosophic sets. We introduce an approach to neutrosophic subgroup and establish some of its basic properties and characterizations. Then we give the homomorphic image and preimage of a neutrosophic (normal) subgroup.

Neutrosophic Sets and Systems, Vol. 36, 2020

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 36, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 36, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.

The NILPOTENT Characterization of the finite neutrosophic p-groups

Author : S. A. Adebisi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4./5 ( download)

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Book Synopsis The NILPOTENT Characterization of the finite neutrosophic p-groups by : S. A. Adebisi

Download or read book The NILPOTENT Characterization of the finite neutrosophic p-groups written by S. A. Adebisi and published by Infinite Study. This book was released on 2022-01-01 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: A well known and referenced global result is the nilpotent characterisation of the finite p-groups. This un doubtedly transends into neutrosophy. Hence, this fact of the neutrosophic nilpotent p-groups is worth critical studying and comprehensive analysis. The nilpotent characterisation depicts that there exists a derived series (Lower Central) which must terminate at {ϵ} ( an identity ), after a finite number of steps. Now, Suppose that G(I) is a neutrosophic p-group of class at least m ≥ 3. We show in this paper that Lm−1(G(I)) is abelian and hence G(I) possesses a characteristic abelian neutrosophic subgroup which is not supposed to be contained in Z(G(I)). Furthermore, If L3(G(I)) = 1 such that pm is the highest order of an element of G(I)/L2(G(I)) (where G(I) is any neutrosophic p-group) then no element of L2(G(I)) has an order higher than pm.

n-Refined Neutrosophic Groups II

Author : Mohammad Abobala
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis n-Refined Neutrosophic Groups II by : Mohammad Abobala

Download or read book n-Refined Neutrosophic Groups II written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is to study some of AH-substructures in n-refined neutrosophic group. Also, it deals with some elementary properties of AH-subgroups, AH-normality, AH-homomorphisms, and endomorphisms especially in a non abelian n-refined neutrosophic group.

Neutrosophic Precalculus and Neutrosophic Calculus

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599733528
Total Pages : 156 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Precalculus and Neutrosophic Calculus by : Florentin Smarandache

Download or read book Neutrosophic Precalculus and Neutrosophic Calculus written by Florentin Smarandache and published by Infinite Study. This book was released on 2015-06-15 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Analysis is a generalization of Set Analysis, which in its turn is a generalization of Interval Analysis. Neutrosophic Precalculus is referred to indeterminate staticity, while Neutrosophic Calculus is the mathematics of indeterminate change. The Neutrosophic Precalculus and Neutrosophic Calculus can be developed in many ways, depending on the types of indeterminacy one has and on the methods used to deal with such indeterminacy. In this book, the author presents a few examples of indeterminacies and several methods to deal with these specific indeterminacies, but many other indeterminacies there exist in our everyday life, and they have to be studied and resolved using similar of different methods. Therefore, more research should to be done in the field of neutrosophics. The author introduces for the first time the notions of neutrosophic mereo-limit, neutrosophic mereo-continuity (in a different way from the classical semi-continuity), neutrosophic mereo-derivative and neutrosophic mereo-integral (both in different ways from the fractional calculus), besides the classical definitions of limit, continuity, derivative, and integral respectively. Future research may be done in the neutrosophic fractional calculus. It means that in neutrosophic calculus there are limits, continuity, derivatives, and integrals that are not complete, i.e. there are neutrosophic functions that at a given point may have a degree of a limit (not 100%) called mereo-limit, or may be continuous in a certain degree (not 100%) called mereo-continuity, or may be differentiable or integrable in a certain degree (not 100%) called mereo-derivatives and respectively mereo-integrals. These occur because of indeterminacies...

Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on 2020-10-01 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Further Theory of Neutrosophic Triplet Topology and Applications

Author : Mohammed A. Al Shumrani
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Further Theory of Neutrosophic Triplet Topology and Applications by : Mohammed A. Al Shumrani

Download or read book Further Theory of Neutrosophic Triplet Topology and Applications written by Mohammed A. Al Shumrani and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Encyclopedia of Neutrosophic Researchers, 1st volume

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599734680
Total Pages : 232 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis The Encyclopedia of Neutrosophic Researchers, 1st volume by : Florentin Smarandache

Download or read book The Encyclopedia of Neutrosophic Researchers, 1st volume written by Florentin Smarandache and published by Infinite Study. This book was released on 2016-11-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

n-Refined Neutrosophic Groups I

Author : Mohammad Abobala
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis n-Refined Neutrosophic Groups I by : Mohammad Abobala

Download or read book n-Refined Neutrosophic Groups I written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to define for the first time the concept of n-refined neutrosophic group. This work is devoted to study some elementary properties of n-refined neutrosophic groups and to establish the algebraic basis of this structure such as n-refined neutrosophic subgroups, n-refined neutrosophic homomorphisms, and n-refined neutrosophic isomorphisms.

A Contribution to Neutrosophic Groups

Author : Mohammad Abobala
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis A Contribution to Neutrosophic Groups by : Mohammad Abobala

Download or read book A Contribution to Neutrosophic Groups written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is to define some new substructures (AH-substructures) in a neutrosophic group. Also, it deals with some elementary properties of AH-subgroups, AH-normality, AH-homomorphisms, AH-quotients and AH-direct products.

Weak LA-hypergroups; Neutrosophy, Enumeration and Redox Reaction

Author : Shah Nawaz
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis Weak LA-hypergroups; Neutrosophy, Enumeration and Redox Reaction by : Shah Nawaz

Download or read book Weak LA-hypergroups; Neutrosophy, Enumeration and Redox Reaction written by Shah Nawaz and published by Infinite Study. This book was released on 2020-10-01 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main motivation of this article is to introduce the theme of Neutrosophic triplet(NT) Hv-LA-Groups. This inspiration is recieved from the structure of weak non-associative Neutrosophic triplet(NT) structures. For it, firstly, we define that each element x have left neut(x) and left anti(x) ; which may or may not unique. We further introduce the notion of neutrosophic triplet Hv-LA-subgroups and neutrosophic weak homomorphism on NT Hv-LA-Group. Secondly, presented NT Hv-LA-Group and develop two Mathematica Packages which help to check the left invertive law, weak left invertive law and reproductive axiom. Finally established a numerical example to validate the proposed approach in chemistry using redox reactions.

An application of complex neutrosophic sets to the theory of groups

Author : Muhammad Gulistan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4./5 ( download)

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Book Synopsis An application of complex neutrosophic sets to the theory of groups by : Muhammad Gulistan

Download or read book An application of complex neutrosophic sets to the theory of groups written by Muhammad Gulistan and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article we introduce the concept of complex neutrosophıc subgroups (normal subgroups). We define the notion of alpha-cut of complex neutrosophıc set, give examples and study some of its related results. We also define the Cartesian product of complex neutrosophic subgroups. Furthermore, we introduce the concept of image and preimage of complex neutrosophic set and prove some of its properties.

Neutrosophic Triplet Cosets and Quotient Groups

Author : Mikail Bal
Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Triplet Cosets and Quotient Groups by : Mikail Bal

Download or read book Neutrosophic Triplet Cosets and Quotient Groups written by Mikail Bal and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, by utilizing the concept of a neutrosophic extended triplet (NET), we define the neutrosophic image, neutrosophic inverse-image, neutrosophic kernel, and the NET subgroup. The notion of the neutrosophic triplet coset and its relation with the classical coset are defined and the properties of the neutrosophic triplet cosets are given. Furthermore, the neutrosophic triplet normal subgroups, and neutrosophic triplet quotient groups are studied.