Úplné zobrazení záznamu

Toto je statický export z katalogu ze dne 22.04.2023. Zobrazit aktuální podobu v katalogu.

Bibliografická citace

.
0 (hodnocen0 x )
(1) Půjčeno:2x 
BK
London : Springer, c2005
ix,303 s. : il. ; 24cm

objednat
ISBN 1-85233-905-5 (váz.)
Universitext
Obsahuje bibliografii na s. [293]-297, rejstřík
Struktury algebraické - učebnice vysokoškolské
Svazy (algebra) - učebnice vysokoškolské
000052000
Contents // 1 Ordered sets; residuated mappings... 1 // 1.1 The concept of an order... 1 // 1.2 Order-preserving mappings... 5 // 1.3 Residuated mappings... 6 // 1.4 Closures... 10 // 1.5 Isomorphisms of ordered sets... 12 // 1.6 Galois connections... 14 // 1.7 Semigroups of residuated mappings... 15 // 2 Lattices; lattice morphisms... 19 // 2.1 Semilattices and lattices... 19 // 2.2 Down-set lattices... 23 // 2.3 Sublattices... 26 // 2.4 Lattice morphisms... 28 // 2.5 Complete lattices... 29 // 2.6 Baer semigroups... 35 // 3 Regular equivalences ... 39 // 3.1 Ordering quotient sets... 39 // 3.2 Strongly upper regular equivalences... 41 // 3.3 Lattice congruences... 45 // 4 Modular lattices... 49 // 4.1 Modular pairs; Dedekind’s modularity criterion... 49 // 4.2 Chain conditions... 54 // 4.3 Join-irreducibles... 58 // 4.4 Baer semigroups and modularity... 61 // 5 Distributive lattices ... 65 // 5.1 Birkhoff’s distributivity criterion... 65 // 5.2 More on join-irreducibles... 69 // 5.3 Prime ideals and filters... 72 // 5.4 Baer semigroups and distributivity ... 74 // Vili Contents // 6 Complementation; boolean algebras ... 77 // 6.1 Complemented elements... 77 // 6.2 Uniquely complemented lattices... 78 // 6.3 Boolean algebras and boolean rings... 82 // 6.4 Boolean algebras of subsets... 86 // 6.5 The Dedekind-MacNeille completion of a boolean algebra ... 90 // 6.6 Neutral and central elements... 92 // 6.7 Stone’s representation theorem... 95 // 6.8 Baer semigroups and complementation...
97 // 6.9 Generalisations of boolean algebras...101 // 7 Pseudocomplementation; Stone and Heyting algebras...103 // 7.1 Pseudocomplements ...?? // 7.2 Stone algebras...106 // 7.3 Heyting algebras...? // 7.4 Baer semigroups and residuation...116 // 8 Congruences; subdirectly irreducible algebras...119 // 8.1 More on lattice congruences ...119 // 8.2 Congruence kernels...121 // 8.3 Principal congruences...126 // 8.4 Congruences on p-algebras...130 // 8.5 Congruences on Heyting algebras...I34 // 8.6 Subdirectly irreducible algebras...I37 // 9 Ordered groups...I43 // 9.1 Ordering groups... // 9.2 Convex subgroups... // 9.3 Lattice-ordered groups...150 // 9.4 Absolute values and orthogonality...153 // 9.5 Convex  -subgroups...158 // 9.6 Polars... // 9.7 Coset ordering; prime subgroups ...164 // 9.8 Representable groups...168 // 10 Archimedean ordered structures...171 // 10.1 Totally ordered rings and fields...171 // 10.2 Archimedean ordered fields...I77 // 10.3 Archimedean totally ordered groups ...188 // 11 Ordered semigroups; residuated semigroups...193 // 11.1 Ordered semigroups...I93 // 11.2 Residuated semigroups...I97 // 11.3 Molinaro equivalences...204 // Contents // IX // 12 Epimorphic group images; Dubreil-Jacotin semigroups...207 // 12.1 Anticones ...207 // 12.2 Dubreil-Jacotin semigroups...212 // 12.3 Residuated Dubreil-Jacotin semigroups...217 // 13 Ordered regular semigroups...225 // 13.1 Regular Dubreil-Jacotin semigroups...225 // 13.2 The Nambooripad order...228 // 13.3 Natural
orders on regular semigroups...232 // 13.4 Biggest inverses...243 // 13.5 Principally ordered regular semigroups...251 // 13.6 Principally and naturally ordered semigroups...255 // 13.7 Ordered completely simple semigroups...258 // 14 Structure theorems...265 // 14.1 Naturally ordered regular semigroups...265 // 14.1.1 Inverse transversals...265 // 14.1.2 Biggest idempotent...269 // 14.1.3 Biggest inverses...269 // 14.2 Integral Dubreil-Jacotin inverse semigroups...271 // 14.3 Orthodox Dubreil-Jacotin semigroups...274 // 14.3.1 The cartesian order...276 // 14.3.2 Unilateral lexicographic orders...282 // 14.3.3 Bootlace orders...285 // 14.3.4 Lexicographic orders...290 // 14.4 Lattices for which ResL is regular...291 // References...293 // Index // 299

Zvolte formát: Standardní formát Katalogizační záznam Zkrácený záznam S textovými návěštími S kódy polí MARC