Adjoints of Oriented Matroids

Bachem, Achim and Kern, Walter (1986) Adjoints of Oriented Matroids.
Published in: Combinatorica : an international journal on combinatorics and the theory of computing Vol. 6 (4). pp. 299-308.

Abstract

An adjoint of a geometric lattice G is a geometric lattice ilde G of the same rank into which there is an embedding e mapping the copoints of G onto the points of ilde G. In this paper we introduce oriented adjoints and prove that they can be embedded into the extension lattice of oriented matroids.


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Content information:
Item Type: Article
Citations: 16 (Google Scholar) | 6 (Web of Science)
Uncontrolled Keywords: geometric lattices oriented matroids
Subjects:
  • 05-XX Combinatorics > 05Bxx Designs and configurations > 05B35 Matroids, geometric lattices

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    Divisions: Mathematical Institute
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    Deposit Information:
    ZAIK Number: zpr84-001
    Depositing User: Archive Admin
    Date Deposited: 02 Apr 2001 00:00
    Last Modified: 04 Dec 2017 13:13
    URI: http://e-archive.informatik.uni-koeln.de/id/eprint/1