Format:
1 Online-Ressource
ISBN:
9781400883950
Series Statement:
Princeton mathematical series 25
Content:
In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, von Neumann founded the field of continuous geometry. This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, dimension theory, and--for the irreducible case--the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed. For students and researchers interested in ring theory or projective geometries, this book is required reading
Note:
Description based on online resource; title from PDF title page (publisher's Web site, viewed Sep. 08, 2016)
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 0-691-05893-8
Language:
English
Subjects:
Mathematics
Keywords:
Kontinuierliche Geometrie
DOI:
10.1515/9781400883950
URL:
Volltext
(URL des Erstveröffentlichers)
Author information:
Von Neumann, John 1903-1957
