A ring R is called $u$-semiregular if for every semisimple principal right ideal aR of R, there exists $e^2=ein aR$ such that $(1-e)ain J(R)$. The class of right $u$-semiregular rings contains all semiregular rings. Some properties of these rings are studied and some results about semiregular rings are extended.
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机译：如果对于R的每个半简单主权利理想aR，在aR $中存在$ e ^ 2 = e ，使得J（R）$中的$（1-e）a ，则将环R称为$ nu $-半规则的。右$ nu $-半规则环的类别包含所有半规则环。研究了这些环的一些性质，并扩展了有关半规则环的一些结果。
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