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Quasigroups And Loops

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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.

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.

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.

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,

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 : Temitope Gbolahan Jaiyeola
language : en
Publisher:
Release Date : 2009

A Study Of New Concepts In Smarandache Quasigroups And Loops written by Temitope Gbolahan Jaiyeola and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Loops (Group theory) categories.