.

0 (hodnocen0 x )

BK

Berlin : Heldermann, 1990

147 s.

ISBN 3-88538-007-2 (váz.)

Sigma series in pure mathematics ; [vol.] 7

Obsahuje: úvod, obsah, rejstřík

Bibliografie: s. 143 - 145

Algebra - učebnice vysokošk.

Pologrupy - okruhy - úvod,teorie,aplikace - algebra - výklady odborné

000088246

Contents // Chapter I: Quasigroups and loops // 1.0 Introduction...1 // 1.1 Groupoids, quasigroups and loops...2 // 1.2 Subgroups and subloops...8 // 1.3 Nuclei and center of a quasigroup...16 // 1.4 Inverse property...20 // 1.5 Multiplication group and inner mapping group...24 // 1.6 bomorphy...26 // 1.7 Homomorphy theory for quasigroups...28 // Chapter II: Quasigroups and geometry // ILI Quasigroups and 3-webs...34 // 11.2 Isotopy, parastrophy, isostrophy...39 // 11.3 Web configurations and loop laws...47 // 11.4 Affine incidence planes...52 // Chapter III: Isotopy theory for quasigroups // 111.1 Isotopy for groupoids...57 // 111.2 Isotopy theory for quasigroups and loops...59 // 111.3 Autotopisms...66 // 111.4 Pseudo-automorphisms of quasigroups...74 // 111.5 Derivatives...79 // 111.6 The isotopy-isomorphy property of loops...82 // Chapter IV: Moufang loops // IV. 1 Basic properties of Moufang loops...88 // IV.2 Moufang’s theorem...93 // IV.3 Some theorems concerning pseudo-automorphisms, the nucleus, // the Moufang center and self-adjoint subgroups of Moufang loops...97 // IV.4 Isotopy of Moufang loops...101 // IV.5 Commutative Moufang loops...107 // IV. 6 Boi loops...112 // Chapter V: Some classes of quasigroups // V. l Totally symmetric quasigroups...122 // V.2 Distributive and entropie quasigroups...131 // Bibliography...143 // Subject Index...146