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A remark on centralizers in semiprime rings

Irena Kosi-Ulbl


Puni tekst: engleski pdf 165 Kb

str. 21-26

preuzimanja: 705

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Sažetak

The purpose of this paper is to prove the following result: Let m 1, n 1 be fixed integers and let R be a (m + n + 2)!-torsion free semiprime ring with the identity element. Suppose there exists an additive mapping T : R R, such that

T(xm+n+1) = xm T(x) xn

holds for all x R. In this case T is a centralizer.

Ključne riječi

Prime ring; semiprime ring; left (right) centralizer; left (right) Jordan centralizer; centralizer

Hrčak ID:

1259

URI

https://hrcak.srce.hr/1259

Datum izdavanja:

1.6.2004.

Posjeta: 1.149 *