Some prime assosymmetric rings
The authors prove that a 2- and 3-divisible prime assosymmetric ring is either associative or commutative. [Reviewer's remark: This result is incomplete. Moreover, it is improvable. It is incomplete, since the authors overlooked the fact that a commutative assosymmetric ring is also associative. It is improvable, since the more general theorem holds: a 2- and 3-divisible semiprime assosymmetric ring is associative. [Cf. our study ``Some theorems on semi-prime nonassociative rings'' (to appear)]\(\}\).
scientific article; zbMATH DE number 4031914