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Weak Maps of Combinatorial Geometries

โœ Scribed by Dean Lucas


Book ID
125686192
Publisher
American Mathematical Society
Year
1975
Tongue
English
Weight
767 KB
Volume
206
Category
Article
ISSN
0002-9947

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Higgs, D. A. ๐Ÿ“‚ Article ๐Ÿ“… 1966 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 184 KB
Extensions of line-closed combinatorial
โœ Mark D. Halsey ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

In [4], line-closed combinatorial geometries were studied. Here, given a line-closed combinatorial geometry G(X), we determine all single point extensions of G(X) that are line-closed. Further, if H(X U r) is a line-closed geometry that is a smooth extension of G(X) we give a natural necessary and s

On the Number of Combinatorial Geometrie
โœ Piff, M. J.; Welsh, D. J. A. ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 56 KB
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โœ Dฤ‚nuลฃ Marcu ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 318 KB

In this paper, we show that the full algebraic combinatorial geometry is not a projective geometry, it is only semimodular, but the p-polynomial points give a projective subgeometry. Also, we show that the subgeometry can be coordinatized by a skew field, which is quotient ring of an Ore domain. As