1.

Record Nr.

UNISA996466476603316

Autore

Nastasescu Constantin

Titolo

Methods of Graded Rings [[electronic resource] /] / by Constantin Nastasescu, Freddy van Oystaeyen

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004

ISBN

3-540-40998-X

Edizione

[1st ed. 2004.]

Descrizione fisica

1 online resource (XIII, 306 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1836

Disciplina

512.46

Soggetti

Algebra

Associative rings

Rings (Algebra)

Category theory (Mathematics)

Homological algebra

Group theory

Physics

Associative Rings and Algebras

Category Theory, Homological Algebra

Group Theory and Generalizations

Mathematical Methods in Physics

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 (pages [291]-302) and index.

Nota di contenuto

The Category of Graded Rings -- The Category of Graded Modules -- Modules over Stronly Graded Rings -- Graded Clifford Theory -- Internal Homogenization -- External Homogenization -- Smash Products -- Localization of Graded Rings -- Application to Gradability -- Appendix A: Some Category Theory -- Appendix B: Dimensions in an Abelian Category -- Bibliography -- Index.

Sommario/riassunto

The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail



and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.