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On a class of non-associative rings. (English) Zbl 0366.17016
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

##### MSC:
 17A30 Nonassociative algebras satisfying other identities
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