| Titre : | Compactness in modules |
| Auteurs : | Abdallah Laradji, Auteur |
| Type de document : | texte imprimé |
| Editeur : | Sheffield : University of Sheffield, 1985 |
| Format : | 126 f. / 27 cm. |
| Note générale : |
Thèse de Doctorat : Mathématique Appliqués : Royaume-Uni, University of Sheffield : 1985
Annexe f. 127 - 133 . - Bibliogr. f. 134 - 136 |
| Langues : | Anglais |
| Index. décimale : | D002285 |
| Tags : | Mathématique ; Algebraic compactness Purity Pure injectivity Filters Regressive functions |
| Résumé : |
This thesis is concerned with the study of algebraic compactness for modules using systems of equations.
The first two chapters provide an introduction to the subject via purity and pure-injectivity. In chapter 3 and 4, we discuss the various types of algebraic compactness and give some charcterizations of Σ-algebraic compact modules. Filters are used in chaptre 5 to genrralize results on χ₀-compact quotients to higher cardinals. In chapter 6, we show that the proof of a theorem of Mycielski on filter quotients is incorrect by using regressive functions. The results of chapter 5 are applied to prove weaker versions of his theorem. In the last chapter, we construct for each n Є IN a finitely solvable system of equations which is χn₋₁-solvable but not χn-solvable, and a module which is χn₋₁-compact but not χn-compact. Finally, an appendix on ordinals and cardinals with definitions and statements of the properties used in this thesis is given. |
Exemplaires (1)
| Cote | Support | Localisation | Section | Disponibilité | Spécialité | Etat_Exemplaire |
|---|---|---|---|---|---|---|
| D002285 | Papier + ressource électronique | Bibliothèque Annexe | Thèse de Doctorat | Disponible | Mathématiques | Consultation sur place/Téléchargeable |
Documents numériques (1)
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LARADJI.Abdellah.pdf URL
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