Continuous Geometry:
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...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[2016]
|
| Series: | Princeton mathematical series
25 |
| Subjects: | |
| Online Access: | Volltext |
| Summary: | 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 |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Sep. 08, 2016) |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781400883950 |
| DOI: | 10.1515/9781400883950 |
Staff View
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| 520 | |a 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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| dewey-full | 516.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.5 |
| dewey-search | 516.5 |
| dewey-sort | 3516.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400883950 |
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| id | DE-604.BV043867690 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:37:11Z |
| institution | BVB |
| isbn | 9781400883950 |
| language | English |
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| publisher | Princeton University Press |
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| series | Princeton mathematical series |
| series2 | Princeton mathematical series |
| spelling | Von Neumann, John 1903-1957 (DE-588)118770314 aut Continuous Geometry John von Neumann Princeton, NJ Princeton University Press [2016] © 1998 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Princeton mathematical series 25 Description based on online resource; title from PDF title page (publisher's Web site, viewed Sep. 08, 2016) 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 Continuous geometries Continuous groups Geometry, Projective Topology Kontinuierliche Geometrie (DE-588)4561761-2 gnd rswk-swf Kontinuierliche Geometrie (DE-588)4561761-2 s DE-604 Halperin, Israel aut Erscheint auch als Druck-Ausgabe 0-691-05893-8 Princeton mathematical series 25 (DE-604)BV045898993 25 https://doi.org/10.1515/9781400883950?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Von Neumann, John 1903-1957 Halperin, Israel Continuous Geometry Princeton mathematical series Continuous geometries Continuous groups Geometry, Projective Topology Kontinuierliche Geometrie (DE-588)4561761-2 gnd |
| subject_GND | (DE-588)4561761-2 |
| title | Continuous Geometry |
| title_auth | Continuous Geometry |
| title_exact_search | Continuous Geometry |
| title_full | Continuous Geometry John von Neumann |
| title_fullStr | Continuous Geometry John von Neumann |
| title_full_unstemmed | Continuous Geometry John von Neumann |
| title_short | Continuous Geometry |
| title_sort | continuous geometry |
| topic | Continuous geometries Continuous groups Geometry, Projective Topology Kontinuierliche Geometrie (DE-588)4561761-2 gnd |
| topic_facet | Continuous geometries Continuous groups Geometry, Projective Topology Kontinuierliche Geometrie |
| url | https://doi.org/10.1515/9781400883950?locatt=mode:legacy |
| volume_link | (DE-604)BV045898993 |
| work_keys_str_mv | AT vonneumannjohn continuousgeometry AT halperinisrael continuousgeometry |