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Moufang Loops Of Small Order
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Book Synopsis Moufang Loops of Small Order by : Orin Chein
Download or read book Moufang Loops of Small Order written by Orin Chein and published by American Mathematical Soc.. This book was released on 1978 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, all nonassociative Moufang loops of order [less-than or equal to symbol] 63 are found, and their properties are investigated. Each of these loops is solvable, satisfies Lagrange's Theorem, has Sylow subloops, and is isomorphic to all of its loop isotopes. All of the loops in question contain normal subgroups of small index, and some general techniques of constructing such loops are discussed.
Book Synopsis Moufang Loops and Groups with Triality are Essentially the Same Thing by : J. I. Hall
Download or read book Moufang Loops and Groups with Triality are Essentially the Same Thing written by J. I. Hall and published by American Mathematical Soc.. This book was released on 2019-09-05 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1925 Élie Cartan introduced the principal of triality specifically for the Lie groups of type D4, and in 1935 Ruth Moufang initiated the study of Moufang loops. The observation of the title in 1978 was made by Stephen Doro, who was in turn motivated by the work of George Glauberman from 1968. Here the author makes the statement precise in a categorical context. In fact the most obvious categories of Moufang loops and groups with triality are not equivalent, hence the need for the word “essentially.”
Book Synopsis Lie Groups, Differential Equations, and Geometry by : Giovanni Falcone
Download or read book Lie Groups, Differential Equations, and Geometry written by Giovanni Falcone and published by Springer. This book was released on 2017-09-19 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.
Book Synopsis NonasSociative Algebra and Its Applications by : R. Costa
Download or read book NonasSociative Algebra and Its Applications written by R. Costa and published by CRC Press. This book was released on 2019-05-20 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.
Book Synopsis The Moufang Loops of Order Less Than 64 by : Edgar G. Goodaire
Download or read book The Moufang Loops of Order Less Than 64 written by Edgar G. Goodaire and published by Comack, N.Y. : Nova Science Publishers. This book was released on 1999 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examples are useful and enlightening in all fields of mathematics and particularly for those researchers who work with finite algebraic structures of any kind. This monograph was motivated by the desire to have at hand a ready supply of examples of finite Moufang loops. The existence of this material in one location together with the introduction of a cataloguing scheme for all 158 Moufang loops of order less than 64 will be of value to student and researcher alike.
Book Synopsis Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures by : Mahouton Norbert Hounkonnou
Download or read book Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures written by Mahouton Norbert Hounkonnou and published by Springer Nature. This book was released on 2023-12-01 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Alternative Loop Rings by : E.G. Goodaire
Download or read book Alternative Loop Rings written by E.G. Goodaire and published by Elsevier. This book was released on 1996-10-24 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously.One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is a very close relationship between the algebraic structures of loop rings and of group rings over 2-groups.Another major topic of research is the study of the unit loop of the integral loop ring. Here the interaction between loop rings and group rings is of immense interest.This is the first survey of the theory of alternative loop rings and related issues. Due to the strong interaction between loop rings and certain group rings, many results on group rings have been included, some of which are published for the first time. The authors often provide a new viewpoint and novel, elementary proofs in cases where results are already known.The authors assume only that the reader is familiar with basic ring-theoretic and group-theoretic concepts. They present a work which is very much self-contained. It is thus a valuable reference to the student as well as the research mathematician. An extensive bibliography of references which are either directly relevant to the text or which offer supplementary material of interest, are also included.
Book Synopsis Matroid Applications by : Neil White
Download or read book Matroid Applications written by Neil White and published by Cambridge University Press. This book was released on 1992-03-05 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, the third in a sequence that began with The Theory of Matroids and Combinatorial Geometries, concentrates on the applications of matroid theory to a variety of topics from engineering (rigidity and scene analysis), combinatorics (graphs, lattices, codes and designs), topology and operations research (the greedy algorithm).
Book Synopsis On the Classification of Bol-Moufang Type of Some Varieties of Quasi Neutrosophic Triplet Loop (Fenyves BCI-Algebras) by : Tèmítópé Gbóláhàn Jaíyéolá
Download or read book On the Classification of Bol-Moufang Type of Some Varieties of Quasi Neutrosophic Triplet Loop (Fenyves BCI-Algebras) written by Tèmítópé Gbóláhàn Jaíyéolá and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, Bol-Moufang types of a particular quasi neutrosophic triplet loop (BCI-algebra), chritened Fenyves BCI-algebras are introduced and studied. 60 Fenyves BCI-algebras are introduced and classified. Amongst these 60 classes of algebras, 46 are found to be associative and 14 are found to be non-associative.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1992-10 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book CMUC written by and published by . This book was released on 2016 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Biographical Dictionary of Women in Science by : Marilyn Ogilvie
Download or read book The Biographical Dictionary of Women in Science written by Marilyn Ogilvie and published by Routledge. This book was released on 2003-12-16 with total page 2281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited by two of the most respected scholars in the field, this milestone reference combines "facts-fronted" fast access to biographical details with highly readable accounts and analyses of nearly 3000 scientists' lives, works, and accomplishments. For all academic and public libraries' science and women's studies collections.
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.
Book Synopsis Elements of Quasigroup Theory and Applications by : Victor Shcherbacov
Download or read book Elements of Quasigroup Theory and Applications written by Victor Shcherbacov and published by CRC Press. This book was released on 2017-05-12 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Transactions of the American Mathematical Society by : American Mathematical Society
Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1974 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.
