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Smooth Quasigroups and Loops

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Cover of 'Smooth Quasigroups and Loops'

Table of Contents

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    Book Overview
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    Chapter 1 Introductory Survey: Quasigroups, Loopuscular Geometry and Nonlinear Geometric Algebra
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    Chapter 2 Basic Algebraic Structures
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    Chapter 3 Semidirect Products of a Quasigroup by its Transassociants
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    Chapter 4 Basic Smooth Structures
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    Chapter 5 Infinitesimal Theory of Smooth Loops
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    Chapter 6 Smooth Bol Loops and Bol Algebras
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    Chapter 7 Smooth Moufang Loops and Mal’Cev Algebras
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    Chapter 8 Smooth Hyporeductive and Pseudoreductive Loops
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    Chapter 9 Affine Connections and Loopuscular Structures
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    Chapter 10 Reductive Geoodular Spaces
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    Chapter 11 Symmetric Geoodular Spaces
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    Chapter 12 s-SPACES
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    Chapter 13 Geometry of Smooth Bol and Moufang Loops
Attention for Chapter 7: Smooth Moufang Loops and Mal’Cev Algebras
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