1.

Record Nr.

UNINA9910796308203321

Autore

Tackett Nicolas

Titolo

The Destruction of the Medieval Chinese Aristocracy / / Nicolas Tackett

Pubbl/distr/stampa

Boston : , : Harvard University Asia Center, , 2014

Leiden; ; Boston : , : BRILL, , 2014

ISBN

1-68417-077-X

Edizione

[1st ed.]

Descrizione fisica

1 online resource (xiv, 281 pages :) : illustrations, maps ;

Collana

Harvard University Studies in East Asian Law ; ; 93

Disciplina

951/.01708621

Soggetti

Aristocracy (Social class)

Elite (Social sciences)

Manners and customs

Power (Social sciences)

China History Tang dynasty, 618-907

China History Tang dynasty, 618-907 Sources

China Social life and customs 221 B.C.-960 A.D

China Social conditions 221 B.C.-960 A.D

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Map of Tang China -- Conventions -- Introduction -- The transformation of medieval elites -- Tomb epitaphs as a historical source -- Chapter One. The bureaucratic aristocracy of medieval China -- Chapter Two. The geography of power -- Chapter Three. Capital elite marriage networks -- Chapter Four. The late Tang provinces -- Chapter Five. Huang Chao and the destruction of the medieval aristocracy -- Appendix A: Guide to the accompanying database -- Appendix B: Estimating the total size of the late Tang capital elite -- Appendix C: Sources of ninth-century excavated epitaphs.

Sommario/riassunto

"Tackett resolves the enigma of the complete disappearance by the tenth century of the medieval Chinese aristocracy, analyzing a dazzling array of sources to demonstrate that the great Tang aristocratic families were far more successful than previously believed in adapting to the many transformations of the seventh and eighth centuries"--



2.

Record Nr.

UNINA9910964089003321

Autore

Anderson Frank W

Titolo

Rings and Categories of Modules / / by Frank W. Anderson, Kent R. Fuller

Pubbl/distr/stampa

New York, NY : , : Springer New York : , : Imprint : Springer, , 1992

ISBN

1-4612-4418-8

Edizione

[2nd ed. 1992.]

Descrizione fisica

1 online resource (X, 378 p.)

Collana

Graduate Texts in Mathematics, , 2197-5612 ; ; 13

Classificazione

16-02

Disciplina

512

Soggetti

Algebra

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

§0. Preliminaries -- 1: Rings, Modules and Homomorphisms -- §1. Review of Rings and their Homomorphisms -- §2. Modules and Submodules -- §3. Homomorphisms of Modules -- §4. Categories of Modules; Endomorphism Rings -- 2: Direct Sums and Products -- §5. Direct Summands -- §6. Direct Sums and Products of Modules -- §7. Decomposition of Rings -- §8. Generating and Cogenerating -- 3: Finiteness Conditions for Modules -- §9. Semisimple Modules—The Sode and the Radical -- §10. Finitely Generated and Finitely Cogenerated Modules—Chain Conditions -- §11. Modules with Composition Series -- §12. Indecomposable Decompositions of Modules -- 4: Classical Ring-Structure Theorems -- §13. Semisimple Rings -- §14. The Density Theorem -- §15. The Radical of a Ring—Local Rings and Artinian Rings -- 5: Functors Between Module Categories -- §16. The Horn Functors and Exactness—Projectivity and Injectivity -- §17. Projective Modules and Generators -- §18. Injective Modules and Cogenerators -- §19. The Tensor Functors and Flat Modules -- §20. Natural Transformations -- 6: Equivalence and Duality for Module Categories -- §21. Equivalent Rings -- §22. The Morita Characterizations of Equivalence -- §23. Dualities -- §24. Morita Dualities -- 7: Injective Modules, Projective Modules, and Their Decompositions -- §25. Injective Modules and Noetherian Rings—The Faith-Walker Theorems -- §26. Direct Sums of Countably Generated Modules—With Local Endomorphism Rings -- §27. Semiperfect Rings -- §28. Perfect Rings -- §29. Modules with Perfect Endomorphism



Rings -- 8: Classical Artinian Rings -- §30. Artinian Rings with Duality -- §31. Injective Projective Modules -- §32. Serial Rings -- References.

Sommario/riassunto

This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. We assume the famil­ iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-sided ideal structure that a ring may possess and the behavior of its categories of modules. Following a brief outline of set-theoretic and categorical foundations, the text begins with the basic definitions and properties of rings, modules and homomorphisms and ranges through comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, de­ composition theory of injective and projective modules, and semi perfect and perfect rings. In this second edition we have included a chapter containing many of the classical results on artinian rings that have hdped to form the foundation for much of the contemporary research on the representation theory of artinian rings and finite dimensional algebras. Both to illustrate the text and to extend it we have included a substantial number of exercises covering a wide spectrum of difficulty. There are, of course" many important areas of ring and module theory that the text does not touch upon.