Vol. 38, No. 2, 1971

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Commutative associative rings and anti-flexible rings

H. A. Çelik

Vol. 38 (1971), No. 2, 351–358

Let R be a simple anti-flexible ring of characteristic distinct from 2 and 3. Anderson and Outcalt have proved that R+ is a commutative associative ring. The same authors have also shown that a commutative associative ring P of characteristic not 2 gives rise to a simple anti-flexible ring provided P has a suitably defined symmetric belinear form on it. The purpose of this paper is to give an explicit construction of such a symmetric bilinear form and determine the suitable commutative associative rings.

Mathematical Subject Classification 2000
Primary: 17A20
Received: 1 December 1970
Published: 1 August 1971
H. A. Çelik