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Uniform extensions of partial geometries

โœ Scribed by A. A. Makhnev; M. S. Nirova


Book ID
110189816
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
392 KB
Volume
257
Category
Article
ISSN
0081-5438

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๐Ÿ“œ SIMILAR VOLUMES


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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

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We consider affine extensions of geometries of Petersen and of tilde type, i.e., of flag-transitive geometries 1 belonging to a diagram (c.X ) b where either bwwb , i.e., the geometry of edges and vertices of the Petersen graph, or bwwb X =b= = =b t , i.e., the 3-fold cover of the generalized Sp 4

Unitary extensions of partial isometries
โœ Nieves Amoretti; Marisela Domรญnguez ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 139 KB

If S (n ,m ) (n ,m )โ‰ฅ(0, 0) is a multiplicative family of partial isometries on Z 2 with the lexicographic order, then S (1, 0) and S (0, 1) commute in a certain weak sense. Let A and B be commuting unitary extensions of S (1, 0) and S (0, 1) . We give a sufficient condition for A n B m (n ,m )โˆˆZ 2

Forcing extensions of partial lattices
โœ Friedrich Wehrung ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 480 KB

We prove the following result: Let K be a lattice, let D be a distributive lattice with zero, and let ฯ• : Con c K โ†’ D be a {โˆจ, 0}-homomorphism, where Con c K denotes the {โˆจ, 0}-semilattice of all finitely generated congruences of K. Then there are a lattice L, a lattice homomorphism f : K โ†’ L, and a