Author : Anonim
Publisher : Unknown
Page : 272 pages
File Size : 43,6 Mb
Release : 1994
Category : Group theory
ISBN : UOM:39015057355763
Quasigroups and Related Systems
Anonim
Quasigroups And Related Systems
Quasigroups And Related Systems Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Quasigroups And Related Systems book. This book definitely worth reading, it is an incredibly well-written.
Elements of Quasigroup Theory and Applications
Victor Shcherbacov
Author : Victor Shcherbacov
Publisher : CRC Press
Page : 576 pages
File Size : 50,9 Mb
Release : 2017-05-12
Category : Computers
ISBN : 9781498721561
Elements of Quasigroup Theory and Applications by Victor Shcherbacov Pdf
This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.
Neutrosophic Sets and Systems, Book Series, Vol. 31, 2020. An International Book Series in Information Science and Engineering
Florentin Smarandache,Mohamed Abdel-Basset
Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 318 pages
File Size : 46,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX
Neutrosophic Sets and Systems, Book Series, Vol. 31, 2020. An International Book Series in Information Science and Engineering by Florentin Smarandache,Mohamed Abdel-Basset Pdf
“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.
Mathematical Combinatorics, Vol. 2/2011
Linfan Mao
Author : Linfan Mao
Publisher : Infinite Study
Page : 144 pages
File Size : 55,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9781599731575
Mathematical Combinatorics, Vol. 2/2011 by Linfan Mao Pdf
Papers on Duality Theorems of Multiobjective Generalized Disjunctive Fuzzy Nonlinear Fractional Programming, Plick Graphs with Crossing Number 1, Surface Embeddability of Graphs via Joint Trees, Common Fixed Points for Pairs of Weakly Compatible Mappings, Pathos Semitotal and Total Block Graph of a Tree, and other topics. Contributors: Bahaddin Bukcu, Murat Kemal Karacan, D. Nural Yuksel, Chandrashekar Adiga, C. S. Shivakumar Swamy, Hassan Jolany, Hossein Mohebbi, R. Eizadi Alikelaye, and others.
A Study of New Concepts in Smarandache Quasigroups and Loops
Jaiyeola Temitope Gbolahan
Author : Jaiyeola Temitope Gbolahan
Publisher : Infinite Study
Page : 139 pages
File Size : 51,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9781599730837
A Study of New Concepts in Smarandache Quasigroups and Loops by Jaiyeola Temitope Gbolahan Pdf
This monograph is a compilation of results on some new Smarandache concepts in Smarandache;groupoids, quasigroups and loops, and it pin points the inter-relationships and connections between andamong the various Smarandache concepts and notions that have been developed. This monograph isstructured into six chapters. The first chapter is an introduction to the theory quasigroups and loops withmuch attention paid to those quasigroup and loop concepts whose Smarandache versions are to bestudied in the other chapters. In chapter two, the holomorphic structures of Smarandache loops ofBol-Moufang type and Smarandache loops of non-Bol-Moufang type are studied. In the third chapter,the notion of parastrophy is introduced into Smarandache quasigroups and studied. Chapter four studiesthe universality of some Smarandache loops of Bol-Moufang type. In chapter five, the notion ofSmarandache isotopism is introduced and studied in Smarandache quasigroups and loops. In chaptersix, by introducing Smarandache special mappings in Smarandache groupoids, the SmarandacheBryant-Schneider group of a Smarandache loop is developed.
Polyadic Groups
Wieslaw A. Dudek
Author : Wieslaw A. Dudek
Publisher : CRC Press
Page : 424 pages
File Size : 40,5 Mb
Release : 2024-03-22
Category : Mathematics
ISBN : 9781040001042
Polyadic Groups by Wieslaw A. Dudek Pdf
This book provides a general, unified approach to the theory of polyadic groups, their normal subgroups and matrix representations. The author focuses on those properties of polyadic groups which are not present in the binary case. These properties indicate a strong relationship between polyadic groups and various group-like algebras, as well as ternary Hopf algebras and n-Lie algebras that are widely used in theoretical physics. The relationships of polyadic groups with special types of binary groups, called covering groups and binary retracts, are described. These relationships allow the study of polyadic groups using these binary groups and their automorphisms. The book also describes the affine geometry induced by polyadic groups and fuzzy subsets defined on polyadic groups. Finally, we discuss the categories of polyadic groups and the relationships between the different varieties of polyadic groups. In many cases, we give elegant new proofs of known theorems. We also give many interesting examples and applications. The book contains many little-known results from articles previously published in hard-to-reach Russian, Ukrainian and Macedonian journals. These articles are not in English.
Computational Commutative and Non-commutative Algebraic Geometry
Svetlana Cojocaru,Gerhard Pfister,Victor Ufnarovski
Author : Svetlana Cojocaru,Gerhard Pfister,Victor Ufnarovski
Publisher : IOS Press
Page : 336 pages
File Size : 45,8 Mb
Release : 2005
Category : Electronic books
ISBN : 9781586035051
Computational Commutative and Non-commutative Algebraic Geometry by Svetlana Cojocaru,Gerhard Pfister,Victor Ufnarovski Pdf
Polyadic Groups
Wieslaw A. Dudek
Author : Wieslaw A. Dudek
Publisher : CRC Press
Page : 1736 pages
File Size : 46,6 Mb
Release : 2024-03-22
Category : Mathematics
ISBN : 9781040001103
Polyadic Groups by Wieslaw A. Dudek Pdf
This book provides a general, unified approach to the theory of polyadic groups, their normal subgroups and matrix representations. The author focuses on those properties of polyadic groups which are not present in the binary case. These properties indicate a strong relationship between polyadic groups and various group-like algebras, as well as ternary Hopf algebras and n-Lie algebras that are widely used in theoretical physics. The relationships of polyadic groups with special types of binary groups, called covering groups and binary retracts, are described. These relationships allow the study of polyadic groups using these binary groups and their automorphisms. The book also describes the affine geometry induced by polyadic groups and fuzzy subsets defined on polyadic groups. Finally, we discuss the categories of polyadic groups and the relationships between the different varieties of polyadic groups. In many cases, we give elegant new proofs of known theorems. We also give many interesting examples and applications. The book contains many little-known results from articles previously published in hard-to-reach Russian, Ukrainian and Macedonian journals. These articles are not in English.
Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures
Mahouton Norbert Hounkonnou,Melanija Mitrović,Mujahid Abbas,Madad Khan
Author : Mahouton Norbert Hounkonnou,Melanija Mitrović,Mujahid Abbas,Madad Khan
Publisher : Springer Nature
Page : 600 pages
File Size : 52,5 Mb
Release : 2023-12-01
Category : Mathematics
ISBN : 9783031393341
Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures by Mahouton Norbert Hounkonnou,Melanija Mitrović,Mujahid Abbas,Madad Khan Pdf
This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications—CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojša Stevanović (1962-2009). The papers cover new trends in the field, focusing on the growing development of applications in other disciplines. These aspects interplay in the same cadence, promoting interactions between theory and applications, and between nonassociative algebraic structures and various fields in pure and applied mathematics. In this volume, the reader will find novel studies on topics such as left almost algebras, logical algebras, groupoids and their generalizations, algebraic geometry and its relations with quiver algebras, enumerative combinatorics, representation theory, fuzzy logic and foundation theory, fuzzy algebraic structures, group amalgams, computer-aided development and transformation of the theory of nonassociative algebraic structures, and applications within natural sciences and engineering. Researchers and graduate students in algebraic structures and their applications can hugely benefit from this book, which can also interest any researcher exploring multi-disciplinarity and complexity in the scientific realm.
Multidisciplinary Perspectives in Cryptology and Information Security
Sadkhan Al Maliky, Sattar B.
Author : Sadkhan Al Maliky, Sattar B.
Publisher : IGI Global
Page : 463 pages
File Size : 44,6 Mb
Release : 2014-03-31
Category : Computers
ISBN : 9781466658097
Multidisciplinary Perspectives in Cryptology and Information Security by Sadkhan Al Maliky, Sattar B. Pdf
With the prevalence of digital information, IT professionals have encountered new challenges regarding data security. In an effort to address these challenges and offer solutions for securing digital information, new research on cryptology methods is essential. Multidisciplinary Perspectives in Cryptology and Information Security considers an array of multidisciplinary applications and research developments in the field of cryptology and communication security. This publication offers a comprehensive, in-depth analysis of encryption solutions and will be of particular interest to IT professionals, cryptologists, and researchers in the field.
Handbook of Combinatorial Designs
Charles J. Colbourn,Jeffrey H. Dinitz
Author : Charles J. Colbourn,Jeffrey H. Dinitz
Publisher : CRC Press
Page : 1011 pages
File Size : 45,8 Mb
Release : 2006-11-02
Category : Computers
ISBN : 9781420010541
Handbook of Combinatorial Designs by Charles J. Colbourn,Jeffrey H. Dinitz Pdf
Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence
An Introduction to Quasigroups and Their Representations
Jonathan D. H. Smith
Author : Jonathan D. H. Smith
Publisher : CRC Press
Page : 353 pages
File Size : 44,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9781420010633
An Introduction to Quasigroups and Their Representations by Jonathan D. H. Smith Pdf
Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension. To fully understand representation theory,
Cryptocoding Based on Quasigroups
Daniela Mechkaroska,Aleksandra Popovska-Mitrovikj,Verica Bakeva
Author : Daniela Mechkaroska,Aleksandra Popovska-Mitrovikj,Verica Bakeva
Publisher : Springer Nature
Page : 100 pages
File Size : 51,8 Mb
Release : 2024-02-13
Category : Computers
ISBN : 9783031501258
Cryptocoding Based on Quasigroups by Daniela Mechkaroska,Aleksandra Popovska-Mitrovikj,Verica Bakeva Pdf
This book presents the concept of cryptcoding which arises from the need to obtain secure and accurate transmission. Therefore, it is necessary to improve constantly existing and develop new algorithms that will ensure accurate and secure data transfer. This leads to the intensive development of coding theory and cryptography as scientific fields which solve these problems. To ensure efficient and secure data transmission at the same time, the concept of cryptcoding is developed such that the coding and encryption processes are merged into one process. Cryptcodes provide correction of a certain number of errors in the transmitted message and data confidentiality, using only one algorithm. The main research in this field is to define new algorithms for coding that detects and corrects errors, random codes, stream ciphers, block ciphers, pseudo-random generators, hash functions, etc. This monograph examines an application of quasigroups for designing error-correcting cryptcodes, called Random Codes Based on Quasigroups (RCBQ ). These codes are a combination of cryptographic algorithms and error-correcting codes and depend on several parameters. Some modifications (new coding/decoding algorithms) of RCBQ for improving their performances for transmission ordinary messages, images, and audio files trough a binary-symmetric channel, Gaussian channel, and burst channels are considered. Also, authors propose and analyze filter for visually enhance of the decoded images and improving the quality of decoded audio files.
Neutrosophic Sets and Systems, Vol. 31, 2020
Florentin Smarandache, Mohamed Abdel-Basset
Author : Florentin Smarandache, Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 320 pages
File Size : 50,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX
Neutrosophic Sets and Systems, Vol. 31, 2020 by Florentin Smarandache, Mohamed Abdel-Basset Pdf
“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, Book Series, Vol. 31, 2020
Florentin Smarandache,Mohamed Abdel-Basset
Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 318 pages
File Size : 40,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX
Neutrosophic Sets and Systems, Book Series, Vol. 31, 2020 by Florentin Smarandache,Mohamed Abdel-Basset Pdf
“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.