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Some Kinds OF Jordan Centralizers on Completely Prime Gamma Rings | ||
| journal of al-qadisiyah for pure science(quarterly) | ||
| Article 1, Volume 11, Issue 3, 2011, Pages 26-40 PDF (0 K) | ||
| Author | ||
| Rajaa C.Shaheen | ||
| Abstract | ||
| Let M be a non-commutative 2-torsion free completely prime -ring, in section two of this paper, we prove that if T:M M be an additive mapping such that 2T(x x)=T(x) x+x T(x) holds for all x M, .in this case T is left and right centralizer (i.e centralizer).In section three of this paper we prove that, if T:M M be an additive mapping satisfying T(x y x)=T(x) y x for all x,y M, , (resp., T(x y x)=x y T(x) for all x,y M, , ) then T is a left centralizer(resp., right centralizer). | ||
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