Quasigroups And Loops
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Quasigroups And Loops
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Author : Orin Chein
language : en
Publisher:
Release Date : 1990
Quasigroups And Loops written by Orin Chein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Loops (Group theory). categories.
Quasigroups And Loops
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Author : Hala O. Pflugfelder
language : en
Publisher:
Release Date : 1990
Quasigroups And Loops written by Hala O. Pflugfelder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Smooth Quasigroups And Loops
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Author : L. Sabinin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Smooth Quasigroups And Loops written by L. Sabinin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
During the last twenty-five years quite remarkable relations between nonas sociative algebra and differential geometry have been discovered in our work. Such exotic structures of algebra as quasigroups and loops were obtained from purely geometric structures such as affinely connected spaces. The notion ofodule was introduced as a fundamental algebraic invariant of differential geometry. For any space with an affine connection loopuscular, odular and geoodular structures (partial smooth algebras of a special kind) were introduced and studied. As it happened, the natural geoodular structure of an affinely connected space al lows us to reconstruct this space in a unique way. Moreover, any smooth ab stractly given geoodular structure generates in a unique manner an affinely con nected space with the natural geoodular structure isomorphic to the initial one. The above said means that any affinely connected (in particular, Riemannian) space can be treated as a purely algebraic structure equipped with smoothness. Numerous habitual geometric properties may be expressed in the language of geoodular structures by means of algebraic identities, etc.. Our treatment has led us to the purely algebraic concept of affinely connected (in particular, Riemannian) spaces; for example, one can consider a discrete, or, even, finite space with affine connection (in the form ofgeoodular structure) which can be used in the old problem of discrete space-time in relativity, essential for the quantum space-time theory.
A Study Of New Concepts In Smarandache Quasigroups And Loops
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Author : Jaiyeola Temitope Gbolahan
language : en
Publisher: Infinite Study
Release Date : 2009
A Study Of New Concepts In Smarandache Quasigroups And Loops written by Jaiyeola Temitope Gbolahan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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.
Elements Of Quasigroup Theory And Applications
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Author : Victor Shcherbacov
language : en
Publisher: CRC Press
Release Date : 2017-05-12
Elements Of Quasigroup Theory And Applications written by Victor Shcherbacov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-12 with Computers categories.
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.
An Introduction To Quasigroups And Their Representations
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Author : Jonathan D. H. Smith
language : en
Publisher: CRC Press
Release Date : 2006-11-15
An Introduction To Quasigroups And Their Representations written by Jonathan D. H. Smith and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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,
International Journal Of Mathematical Combinatorics Volume 1 2008
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date :
International Journal Of Mathematical Combinatorics Volume 1 2008 written by Linfan Mao 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 J. Mathematical Combinatorics is a fully refereed international journal which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
Mathematical Combinatorics Vol 1 2008
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date :
Mathematical Combinatorics Vol 1 2008 written by Linfan Mao 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 categories.
Papers on flexibility of Embeddings of a Halin Graph on the Projective Plane, curvature Equations on Combinatorial Manifolds with Applications to Theoretical Physics, a Pair of Smarandachely Isotopic Quasigroups and Loops of the Same Variety, and similar topics. Contributors: Arun S. Muktibodh, Han Ren, Yun Bai, Yuhua Fu, Anjie Fushenglin Cao, Guangxuan Wang, and others.
Quasigroups And Related Systems
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Author :
language : en
Publisher:
Release Date : 1994
Quasigroups And Related Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Group theory categories.
Foundations Of Translation Planes
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Author : Mauro Biliotti
language : en
Publisher: CRC Press
Release Date : 2001-07-13
Foundations Of Translation Planes written by Mauro Biliotti and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-13 with Mathematics categories.
An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of str