О конструкции Мицухары для эндоморфов

Abstract

We consider Mizuhara's construction for the endomorphs. It is shown that this construction gives almost simple algebras, which are used to construct new examples of simple right-symmetric algebras. To investigate the Mizuhara extensions we give a description of the derivations of the endomorphs constructed on nonunital algebras, which generalizes a result obtained earlier in the unital case.