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Regular elements determined by generalized inverses

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 نشر من قبل Andr\\'e Leroy
 تاريخ النشر 2018
  مجال البحث
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In a semiprime ring, von Neumann regular elements are determined by their inner inverses. In particular, for elements $a,b$ of a von Neumann regular ring $R$, $a=b$ if and only if $I(a)=I(b)$, where $I(x)$ denotes the set of inner inverses of $xin R$. We also prove that, in a semiprime ring, the same is true for reflexive inverses.



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