In this article we study nonassociative rings satisfying the polynomial identity x yz = y zx , which we call “cyclic rings.” We prove that every semiprime cyclic ring is associative and commutative and that every cyclic ...

We apply Kolesnikov's algorithm to obtain a variety of nonassociative algebras defined by right anticommutativity and a "noncommutative" version of the Malcev identity. We use computer algebra to verify that these identities ...

© 2015, Copyright Taylor & Francis Group, LLC. In this article, we prove the nilpotency of commutative nonassociative finitely generated algebras satisfying an identity of type (Formula presented.) with α + β ≠ 0. Our ...

Let A be a (non-necessarily associative) finite-dimensional algebra over a field of characteristic zero. A quantitative estimate of the polynomial identities satisfied by A is achieved through the study of the asymptotics ...

The authors` recent classification of trilinear operations includes, among other cases, a fourth family of operations with parameter q epsilon Q boolean OR {infinity}, and weakly commutative and weakly anticommutative ...