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An orthogonal generalized higher reverse left (resp. right) centralizer on semiprime rings

Author:

Fawaz Ra'ad Jarullah Salah Mehdi Salih

Subject Area:

Physical Sciences and Engineering

Abstract:

The main object of this paper is prove that: Let R be a 2-torsion free semiprime ring ,T=(Ti)iN and H=(Hi)iN be two generalized higher reverse left (resp. right) centralizers associated with the higher reverse left (resp. right) centralizers t=(ti)iN and h=(hi)iN resp. of R , where Tn and Hn are commuting. Then Tn and Hn are orthogonal if and only if Tn(x) Hn(y) = tn(x) Hn(y) = 0, for all x , y  R and n  N.

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