On assosymmetric rings (Q1329617)

The purpose of the present paper is to study in more details the properties of assosymmetric rings in general. The author only considers 2- and 3-divisible assosymmetric rings which are not associative (\(A\)- rings). After a presentation of formulas and properties, valid in \(A\)- rings in general, some special subclasses of the class of \(A\)-rings are studied, in particular the class of 4-associative \(A\)-rings and the class of special \(A\)-rings. A special section is devoted to \(A\)-rings with unit element. Several examples are given.