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ULTRAHOMOGENEOUS SEMILINEAR SPACES

  • ALICE DEVILLERS

Abstract

A semilinear space S is ultrahomogeneous if each isomorphism between the semilinear structures induced on two finite subsets can be extended to an automorphism of S. We give a complete classification of all finite ultrahomogeneous semilinear spaces. Our theorem extends a result of A. Gardiner on graphs and a result of A. Devillers and J. Doyen on linear spaces.

2000 Mathematical Subject Classification: 05B25, 51E14, 20B25.

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Keywords

ULTRAHOMOGENEOUS SEMILINEAR SPACES

  • ALICE DEVILLERS

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