Umfang:
1 Online-Ressource (xxiv, 640 Seiten)
ISBN:
9783110199727
Serie:
De Gruyter Expositions in Mathematics 41
Inhalt:
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
Anmerkung:
Includes bibliographical references and index
,
Chapter 1; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Chapter 6; Chapter 7; Chapter 8; Chapter 9; Chapter 10; Chapter 11; Chapter 12; Chapter 13; Chapter 14; Chapter 15
,
In English
Weitere Ausg.:
ISBN 3110110792
Weitere Ausg.:
ISBN 9783110110791
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Göbel, Rüdiger, 1940 - 2014 Approximations and Endomorphism Algebras of Modules Berlin [u.a.] : de Gruyter, 2006 ISBN 9783110110791
Weitere Ausg.:
ISBN 3110110792
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Assoziativer Ring
;
Modul
;
Approximation
DOI:
10.1515/9783110199727
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Göbel, Rüdiger 1940-2014
