Collinearity Preserving Functions Between Desarguesian Planes
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Collinearity Preserving Functions Between Desarguesian Planes
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Author : David S. Carter
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
Collinearity Preserving Functions Between Desarguesian Planes written by David S. Carter and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Using concepts from valuation theory, we obtain a characterization of all collinearity-preserving functions from one affine or projective Desarguesian plane into another. The case in which the planes are projective and the range contains a quadrangle has been treated previously in the literature. Our results permit one or both planes to be affine and include cases where the range contains a triangle but no quadrangle. A key theorem is that, with the exception of certain embeddings defined on planes of order 2 and 3, every collinearity-preserving function from one affine Desarguesian plane into another can be extended to a collinearity-preserving function between enveloping projective planes.
Proceedings Of The National Academy Of Sciences Of The United States Of America
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Author : National Academy of Sciences (U.S.)
language : en
Publisher:
Release Date : 1980-07
Proceedings Of The National Academy Of Sciences Of The United States Of America written by National Academy of Sciences (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-07 with Biology categories.
Rings And Geometry
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Author : R. Kaya
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Rings And Geometry written by R. Kaya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
When looking for applications of ring theory in geometry, one first thinks of algebraic geometry, which sometimes may even be interpreted as the concrete side of commutative algebra. However, this highly de veloped branch of mathematics has been dealt with in a variety of mono graphs, so that - in spite of its technical complexity - it can be regarded as relatively well accessible. While in the last 120 years algebraic geometry has again and again attracted concentrated interes- which right now has reached a peak once more - , the numerous other applications of ring theory in geometry have not been assembled in a textbook and are scattered in many papers throughout the literature, which makes it hard for them to emerge from the shadow of the brilliant theory of algebraic geometry. It is the aim of these proceedings to give a unifying presentation of those geometrical applications of ring theo~y outside of algebraic geometry, and to show that they offer a considerable wealth of beauti ful ideas, too. Furthermore it becomes apparent that there are natural connections to many branches of modern mathematics, e. g. to the theory of (algebraic) groups and of Jordan algebras, and to combinatorics. To make these remarks more precise, we will now give a description of the contents. In the first chapter, an approach towards a theory of non-commutative algebraic geometry is attempted from two different points of view.
Notices Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1980
Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Electronic journals categories.
Abstracts Of Papers Presented To The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1981
Abstracts Of Papers Presented To The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Mathematics Magazine
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Author :
language : en
Publisher:
Release Date : 1982
Mathematics Magazine written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Mitteilungen Aus Dem Mathematischen Seminar Giessen
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Author : Justus Liebig-Universität Giessen. Mathematisches Seminar
language : en
Publisher:
Release Date : 1994
Mitteilungen Aus Dem Mathematischen Seminar Giessen written by Justus Liebig-Universität Giessen. Mathematisches Seminar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Dissertations, Academic categories.
Catalogue Books And Journals In Advanced Mathematics
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1985
Catalogue Books And Journals In Advanced Mathematics written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Handbook Of Incidence Geometry
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Author : Francis Buekenhout
language : en
Publisher: North-Holland
Release Date : 1995
Handbook Of Incidence Geometry written by Francis Buekenhout and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Hardbound. This Handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and partial geometries are surveyed extensively.More than half of the book is devoted to buildings at various levels of generality, including a detailed and original introduction to the subject, a broad study of characterizations in terms of points and lines, applications to algebraic groups, extensions to topological geometry, a survey of results on diagram geometries and nearby generalizations such as matroids.
National Union Catalog
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Author :
language : en
Publisher:
Release Date : 1980
National Union Catalog written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Catalogs, Union categories.
Includes entries for maps and atlases.