Collinearity-Preserving Functions between Desarguesian Planes

Download or Read eBook Collinearity-Preserving Functions between Desarguesian Planes PDF written by David S. Carter and published by American Mathematical Soc.. This book was released on 1980 with total page 108 pages. Available in PDF, EPUB and Kindle.
Collinearity-Preserving Functions between Desarguesian Planes

Book Synopsis Collinearity-Preserving Functions between Desarguesian Planes by : David S. Carter

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.

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  • Publisher – American Mathematical Soc.
  • Total Pages – 108
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  • ISBN-10 – 9780821822357
  • ISBN-13 – 0821822357

Proceedings of the National Academy of Sciences of the United States of America

Download or Read eBook Proceedings of the National Academy of Sciences of the United States of America PDF written by National Academy of Sciences (U.S.) and published by . This book was released on 1980-07 with total page 1348 pages. Available in PDF, EPUB and Kindle.
Proceedings of the National Academy of Sciences of the United States of America

Book Synopsis Proceedings of the National Academy of Sciences of the United States of America by : National Academy of Sciences (U.S.)

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  • Total Pages – 1348
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  • ISBN-10 – UOM:39015047612901
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Rings and Geometry

Download or Read eBook Rings and Geometry PDF written by R. Kaya and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 567 pages. Available in PDF, EPUB and Kindle.
Rings and Geometry

Book Synopsis Rings and Geometry by : R. Kaya

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.

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  • Publisher – Springer Science & Business Media
  • Total Pages – 567
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  • ISBN-10 – 9789400954601
  • ISBN-13 – 9400954603

Notices of the American Mathematical Society

Download or Read eBook Notices of the American Mathematical Society PDF written by American Mathematical Society and published by . This book was released on 1980 with total page 388 pages. Available in PDF, EPUB and Kindle.
Notices of the American Mathematical Society

Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

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  • Total Pages – 388
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  • ISBN-10 – UCAL:B3647856
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Abstracts of Papers Presented to the American Mathematical Society

Download or Read eBook Abstracts of Papers Presented to the American Mathematical Society PDF written by American Mathematical Society and published by . This book was released on 1981 with total page 704 pages. Available in PDF, EPUB and Kindle.
Abstracts of Papers Presented to the American Mathematical Society

Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society

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  • Total Pages – 704
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  • ISBN-10 – UOM:39015057327655
  • ISBN-13 –