Commutative associative rings and anti-flexible rings

H. A. Çelik

Vol. 38 (1971), No. 2, 351–358

DOI: 10.2140/pjm.1971.38.351

Abstract

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

Milestones

Received: 1 December 1970

Published: 1 August 1971