International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 70, Pages 4389-4397
doi:10.1155/S016117120321070X

Quadratic pairs in characteristic 2 and the Witt cancellation theorem

Mohamed Abdou Elomary1,2

 1Département de Mathématiques, Université Catholique de Louvain, Louvain-La-Neuve 1348, Belgium
2Département de Mathématiques, Faculté des Sciences et Techniques, Université Moulay Ismail, BP 509 Boutalamine, Errachidia 52000, Morocco
Received 28 October 2002

Abstract

We define the orthogonal sum of quadratic pairs and we show that there is no Witt cancellation theorem for this operation in characteristic 2.