.

0 (hodnocen0 x )

BK

1st ed.

Brno : Masaryk University, 2012

361 s. : il. ; 24 cm

ISBN 978-80-210-5831-6 (brož.)

Folia Facultatis scientiarium naturalium Universitatis Masarykianae Brunensis. Mathematica ; 17

Obsahuje bibliografie a rejstřík

000249162

Preface 5 // 1 Introduction 9 // 1.1 History of the problems • 9 // 1.2 Why homomorphisms? 11 // 1.3 Why unary algebras and homomorphisms? 19 // 1.4 Preliminaries 26 // 2 Homomorphisms of unary algebras 33 // 2.1 Ordinals and cardinals 34 // 2.2 Mono-unary algebras 42 // 2.3 Homomorphisms 50 // 2.4 Applications 61 // 2.5 Classes of mono-unary algebras 66 // 2.6 Partial mono-unary algebras 71 // 2.7 Generalizations 86 // 3 Homomorphisms of algebras 99 // 3.1 Decomposable mappings 100 // 3.2 Categories ALGn and MAPn 102 // 3.3 Categories ALGn and PURn 107 // 3.4 Other constructions of homomorphisms 110 // 3.5 Groupoids 114 // 3.6 Structural changes of algebras 124 // 3.7 General algebras 130 // 3.8 Endomorphisms of linear spaces 143 // 4 Homomorphisms of structures 157 // 4.1 Totally additive mappings 158 // 4.2 Categories REL(n + 1) and PSAn 161 // 4.3 Binary relational structures 168 // 4.4 Ternary relational structures 174 // 4.5 Hypergroupoids 178 // 4.6 Construction of homomorphisms 186 // 4.7 Homomorphisms of graphs 190 // 4.8 General relational structures 197 // 4.9 Heterogeneous algebras 203 // 5 Examples of homomorphic thinking 219 // 5.1 History, School, simple Algorithms 220 // 5.2 Graphs and Relations 233 // 5.3 Computer science 242 // 5.4 Functional equations 248 // 5.5 Methods of this book 256 // 6 A formula for homomorphisms 263 // 6.1 Operations with mappings 265 // 6.2 Constructions C and ? 270 // 6.3 Constructions ? and D 284 // 6.4 The formula 308 // 7 Homomorphisms from memory 317 // 8 Outlook 343 // Index 357

(OCoLC)815377089

cnb002380260