Polygroup Theory And Related Systems
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Polygroup Theory And Related Systems
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Author : Bijan Davvaz
language : en
Publisher: World Scientific
Release Date : 2012
Polygroup Theory And Related Systems written by Bijan Davvaz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in pure and applied mathematics.
Polygroup Theory And Related Systems
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Author : Bijan Davvaz
language : en
Publisher: World Scientific
Release Date : 2013
Polygroup Theory And Related Systems written by Bijan Davvaz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in pure and applied mathematics.
Hypergroup Theory
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Author : Bijan Davvaz
language : en
Publisher: World Scientific
Release Date : 2021-12-28
Hypergroup Theory written by Bijan Davvaz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-28 with Mathematics categories.
The book presents an updated study of hypergroups, being structured on 12 chapters in starting with the presentation of the basic notions in the domain: semihypergroups, hypergroups, classes of subhypergroups, types of homomorphisms, but also key notions: canonical hypergroups, join spaces and complete hypergroups. A detailed study is dedicated to the connections between hypergroups and binary relations, starting from connections established by Rosenberg and Corsini. Various types of binary relations are highlighted, in particular equivalence relations and the corresponding quotient structures, which enjoy certain properties: commutativity, cyclicity, solvability.A special attention is paid to the fundamental beta relationship, which leads to a group quotient structure. In the finite case, the number of non-isomorphic Rosenberg hypergroups of small orders is mentioned. Also, the study of hypergroups associated with relations is extended to the case of hypergroups associated to n-ary relations. Then follows an applied excursion of hypergroups in important chapters in mathematics: lattices, Pawlak approximation, hypergraphs, topology, with various properties, characterizations, varied and interesting examples. The bibliography presented is an updated one in the field, followed by an index of the notions presented in the book, useful in its study.
Fuzzy Algebraic Hyperstructures
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Author : Bijan Davvaz
language : en
Publisher: Springer
Release Date : 2015-01-23
Fuzzy Algebraic Hyperstructures written by Bijan Davvaz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-23 with Technology & Engineering categories.
This book is intended as an introduction to fuzzy algebraic hyperstructures. As the first in its genre, it includes a number of topics, most of which reflect the authors’ past research and thus provides a starting point for future research directions. The book is organized in five chapters. The first chapter introduces readers to the basic notions of algebraic structures and hyperstructures. The second covers fuzzy sets, fuzzy groups and fuzzy polygroups. The following two chapters are concerned with the theory of fuzzy Hv-structures: while the third chapter presents the concept of fuzzy Hv-subgroup of Hv-groups, the fourth covers the theory of fuzzy Hv-ideals of Hv-rings. The final chapter discusses several connections between hypergroups and fuzzy sets, and includes a study on the association between hypergroupoids and fuzzy sets endowed with two membership functions. In addition to providing a reference guide to researchers, the book is also intended as textbook for undergraduate and graduate students.
International Journal Of Neutrosophic Science Ijns Volume 3 2020
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Author : Broumi Said
language : en
Publisher: Infinite Study
Release Date :
International Journal Of Neutrosophic Science Ijns Volume 3 2020 written by Broumi Said 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.
International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. IJNS is published quarterly. IJNS is devoted to the publication of peer-reviewed original research papers lying in the domain of neutrosophic sets and systems. Papers submitted for possible publication may concern with foundations, neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributing to economics, finance, management, industries, electronics, and communications are promoted.
A First Course In Group Theory
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Author : Bijan Davvaz
language : en
Publisher: Springer Nature
Release Date : 2021-11-10
A First Course In Group Theory written by Bijan Davvaz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-10 with Mathematics categories.
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange’s theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
Semihypergroup Theory
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Author : Bijan Davvaz
language : en
Publisher: Academic Press
Release Date : 2016-06-24
Semihypergroup Theory written by Bijan Davvaz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-24 with Mathematics categories.
Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup theory and algebraic hyperstructures, which represent the most general algebraic context in which reality can be modelled. Hyperstructures represent a natural extension of classical algebraic structures and they were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers have been published on this subject. - Offers the first book devoted to the semihypergroup theory - Presents an introduction to recent progress in the theory of semihypergroups - Covers most of the mathematical ideas and techniques required in the study of semihypergroups - Employs the notion of fundamental relations to connect semihypergroups to semigroups
Refined Neutrosophic Quadruple Po Hypergroups And Their Fundamental Group
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Author : M. Al-Tahan
language : en
Publisher: Infinite Study
Release Date :
Refined Neutrosophic Quadruple Po Hypergroups And Their Fundamental Group written by M. Al-Tahan 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.
After introducing the notion of hyperstructures about 80 years ago by F. Marty, a number of researches on its theory, generalization, and it’s applications have been done. On the other hand, the theory of Neutrosophy, the study of neutralities, was developed in 1995 by F. Smarandache as an extension of dialectics. This paper aims at finding a connection between refined neutrosophy of sets and hypergroups. In this regard, we define refined neutrosophic quadruple hypergroups, study their properties, and find their fundamental refined neutrosophic quadruple
Nearrings Nearfields And Related Topics
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Author : Kuncham Syam Prasad
language : en
Publisher: World Scientific
Release Date : 2016-11-28
Nearrings Nearfields And Related Topics written by Kuncham Syam Prasad and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-28 with Mathematics categories.
Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G
Fundamental Group And Complete Parts Of Neutrosophic Quadruple H Groups
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Author : Madeleine Al-Tahan
language : en
Publisher: Infinite Study
Release Date : 2023-01-01
Fundamental Group And Complete Parts Of Neutrosophic Quadruple H Groups written by Madeleine Al-Tahan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
It is well known that Hυ -groups and groups are connected through regular relations. The purpose of this paper is to nd a similar connection between neutrosophic Hυ -groups and neutrosophic groups by using the concept of fundamental relations on Hv-groups. First, we characterize the complete parts of neutrosophic Hv-groups. Then we study their (strongly) regular relations. Finally, we nd their fundamental group.