1.

Record Nr.

UNINA9911095374103321

Autore

Ziaja Georg

Titolo

Lexikon des polnischen Adels im Goldenen Zeitalter 1500–1600 / Georg Ziaja

Pubbl/distr/stampa

Paderborn, : Brill | Schöningh, 2018

ISBN

3-657-79234-1

Edizione

[1st ed.]

Descrizione fisica

1 online resource

Disciplina

305.52209

Soggetti

The Golden Age

Szlachta

Warsaw

The Sixteen Century

Sejm

Rzeczpospolita

Adel

Cracow

Frühe Neuzeit

Jagiellonen

Krakau

Litauen

Magnaten

Nobility

Polen

Reformation

Renaissance

Roman-Catholic

Lingua di pubblicazione

Tedesco

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Front Matter -- Copyright page -- Verzeichnis der Tabellen und Abbildungen -- Verzeichnis der Abkürzungen -- Einleitung -- Die polnischen Adeligen im 16. Jahrhundert (eine Auswahl; alphabetisch) -- Anhang [Tabellen, Statistiken, Karten].



Sommario/riassunto

Das Lexikon des polnischen Adels im Goldenen Zeitalter 1500–1600 beinhaltet 120 Biogramme der bedeutendsten Vertreter des Adels in Polen im 16. Jahrhundert. Jedes der Biogramme ist um eine einführende Literaturliste ergänzt. Für Osteuropahistoriker ist das Buch eine »Goldgrube« für die Zeit des »Goldenen Zeitalters« in Polen. Man findet dort nicht nur biografische Daten, sondern auch Informationen über die Genealogie, Wappenkunde, religiöse Ansichten, Kunst und Kultur und nicht zuletzt eine besondere geografische Komponente mit einer genauen Erklärung der Lage der im Buch beschriebenen Orte und Provinzen. Die beigefügten Tabellen, Karten der Rzeczpospolita sowie der Besitzungen der Magnaten in Polen-Litauen und einige Abbildungen der adeligen Schlösser sowie der Familienwappen ergänzen das ungewöhnlich reichhaltige Buch – ein Lexikon, das (nicht nur) für jeden Osteuropahistoriker eine handliche und praktische Hilfe darstellt.

2.

Record Nr.

UNINA9911138247603321

Autore

Göbel R (Rüdiger), <1940->

Titolo

Approximations and endomorphism algebras of modules / / by Rudiger Gobel and Jan Trlifaj

Pubbl/distr/stampa

Berlin ; ; New York, : Walter de Gruyter, 2006

ISBN

9786612194832

9781282194830

1282194836

9783110199727

3110199726

Edizione

[1st ed.]

Descrizione fisica

1 online resource (664 p.)

Collana

De Gruyter expositions in mathematics ; ; 41

Classificazione

510

SK 150

SK 230

SK 820

Altri autori (Persone)

TrlifajJan

Disciplina

512/.42

Soggetti

Modules (Algebra)

Moduli theory

Approximation theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia



Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front matter -- Contents -- Chapter 1. Some useful classes of modules -- Chapter 2. Approximations of modules -- Chapter 3. Complete cotorsion pairs -- Chapter 4. Deconstruction of cotorsion pairs -- Chapter 5. Tilting approximations -- Chapter 6. 1-tilting modules and their applications -- Chapter 7. Tilting approximations and the finitistic dimension conjectures -- Chapter 8. Cotilting modules -- Chapter 9. The Black Box and its relatives -- Chapter 10. Independence results for cotorsion pairs -- Chapter 11. The lattice of cotorsion pairs -- Chapter 12. Realizing algebras - by algebraically independent elements and by prediction principles -- Chapter 13. E(R)-algebras -- Chapter 14. Modules with distinguished submodules -- Chapter 15. Some useful classes of algebras -- Backmatter

Sommario/riassunto

The category of all modules over a general associative ring is too complex to admit any reasonable classification. Thus, unless the ring is of finite representation type, one must limit attempts at classification to some restricted subcategories of modules. The wild character of the category of all modules, or of one of its subcategories C is often indicated by the presence of a realization theorem, that is, by the fact that any reasonable algebra is isomorphic to the endomorphism algebra of a module from C. This results in the existence of pathological direct sum decompositions and these are generally viewed as obstacles to the classification. Realization theorems have thus become important indicators of the non-classification  theory of modules. In order to overcome this problem, approximation theory of modules has been developed over the past few decades. The idea here is to select suitable subcategories C whose modules can be classified, and then to approximate arbitrary modules by ones from C. These approximations are neither unique nor functorial in general, but there is always a rich supply available appropriate to the requirements of various particular applications. Thus approximation theory has developed into an important part of the classification theory of modules. In this monograph the two methods are brought together. First the approximation theory of modules is developed and some of its recent applications, notably to infinite dimensional tilting theory, are presented. Then some prediction principles from set theory are introduced and these become the principal tools in the establishment of appropriate realization theorems. The monograph starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and representation theory.