Continuous Geometry

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Management number 231717919 Release Date 2026/06/18 List Price US$34.74 Model Number 231717919
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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. Read more

ASIN 0691058938
ISBN10 9780691058931
ISBN13 978-0691058931
Edition Text is Free of Markings
Language English
Publisher Princeton University Press
Dimensions 6.14 x 0.72 x 9.21 inches
Item Weight 15 ounces
Print length 312 pages
Part of series Princeton Landmarks in Mathematics and Physics
Publication date April 20, 1998

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