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Geometric Identities in Lattice Theory

โœ Scribed by Matteo Mainetti; Catherine Huafei Yan


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
385 KB
Volume
91
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


Geometric Identities, Invariant Theory,
โœ M. Hawrylycz ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 446 KB

We prove an identity in the double algebra of a Peano space, using techniques first developed by Doubilet, Rota, and Stein, which yields a class of geometric identities in \(n\)-dimensional projective space. Special cases of this identity include a theorem of Bricard in the projective plane and one

Arguesian Identities in Linear Lattices
โœ Matteo Mainetti; Catherine Huafei Yan ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 486 KB

A class of identities in the Grassmann Cayley algebra which yields a large number of geometric theorems on the incidence of subspaces of projective spaces was found by Hawrylycz (``Geometric Identities in Invariant Theory,'' Ph.D. thesis, Massachusetts, Institute of Technology, 1994). In this paper

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โœ R Ahlswede; Z Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 533 KB

Our main discovery is the following identity: non-empty subsets of D = [ I, 2. . 11) AHLSWEDE AND ZHANG THEOREM 1. For ever)! ,fbmil>~ .d qf' non-rrnpt?) suh.yet,s nf'Q = ( 1, 2, . . . . tl i i w+ ,=I i 0 i Proof: Note first that only the minimal elements in .d determine X,,, and therefore matter. W