Artículo de revista
SEMIPRIMALITY AND NILPOTENCY OF NONASSOCIATIVE RINGS SATISFYING x (yz) = y (zx)
Date
2008Registration in:
Communications in Algebra, 36: 132–141, 2008
0092-7872 print
DOI: 10.1080/00927870701665248
Author
Behn Von Schmieden, Antonio
Correa, Iván
Hentzel, Irvin Roy
Institutions
Abstract
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 right-nilring is solvable. Moreover,
we find sufficient conditions for the nilpotency of cyclic right-nilrings and apply these
results to obtain sufficient conditions for the nilpotency of cyclic right-nilalgebras.