Partial isometries and EP elements in rings with involution

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Dijana Mosić
Dragan S. Djordjevic


If R is a ring with involution, and a is the Moore-Penrose inverse of a ∈ R, then
the element a is called: EP, if aa = aa; partial isometry, if a = a; star-dagger, if aa = aa. In this paper, characterizations of partial isometries, EP elements and star-dagger elements in rings with involution are given. Thus, some well-known results are extended to more general settings.

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