Document Type : Original Article

Author

• Winfried Hochstättler

FernUniversität in Hagen

Abstract

The Tic-Tac-Toe matroid is a paving matroid of rank 5 on 9 ele-
ments which is pseudomodular and whose dual is non-algebraic. It has been
proposed as a possible example of an algebraic matroid whose dual is not
algebraic. We present an infinite family of matroids sharing these properties and
generalizing the Tic-Tac-Toe matroid.

Keywords

• matroids
• representations
• finite fields