ENGLISH

Continuous Geometry

By John von Neumann

Book information

Publisher
Princeton University Press
Year
1998
ISBN
9780691058931, 0691058938
Language
english
Format
DJVU
Filesize
5 MB (5004917 bytes)
Edition
Text is Free of Markings
Pages
312\311
DPI
600
Time added
2024-08-04 15:22:18

Description

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.

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