Reverse Derivations on δ-prime rings

In this paper, we generalized Posner’s theorem, then we extended Mayne’s theorem to get a main result, based on researches of many authors, presented by the theorem, if δ is a nonzero centralizing reverse derivations on a nonzero δ-ideal U of δ –prime ring R, then R is commutative.

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Veröffentlicht in:European journal of pure and applied mathematics 2022-10, Vol.15 (4), p.2032-2042
Hauptverfasser: Taha, Iman, Masri, Rohaidah, Al Khalaf, Ahmad, Tarmizi, Rawdah
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we generalized Posner’s theorem, then we extended Mayne’s theorem to get a main result, based on researches of many authors, presented by the theorem, if δ is a nonzero centralizing reverse derivations on a nonzero δ-ideal U of δ –prime ring R, then R is commutative.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v15i4.4602