Kepka, Tomáš On a class of non-associative rings. (English) Zbl 0366.17016 Commentat. Math. Univ. Carol. 18, 531-540 (1977). Rings satisfying the identities \(x.yz=xy.xz\) and \(yz.x=yx.zx\) are investigated. It is shown that these rings are direct sums of idempotents rings and rings which are nilpotent of class three. Moreover, finite rings of this type are completely described. Reviewer: Tomáš Kepka Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 17A30 Nonassociative algebras satisfying other identities Keywords:direct sums of idempotents rings; nilpotent of class three rings PDFBibTeX XMLCite \textit{T. Kepka}, Commentat. Math. Univ. Carol. 18, 531--540 (1977; Zbl 0366.17016) Full Text: EuDML