Results of 3-derivations and commutativity for prime rings with involution involving symmetric and skew symmetric components

This article examines the connection between 3-derivations and the commutativity of a prime ring $R$ with an involution $\ast$ that fulfills particular algebraic identities for symmetric and skew symmetric elements. In practice, certain well-known problems, such as the Herstein problem, have been st...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2024, 39(1), , pp.79-91
Hauptverfasser: Hanane Aharssi, Kamal Charrabi, Abdellah Mamouni
Format: Artikel
Sprache:eng
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Zusammenfassung:This article examines the connection between 3-derivations and the commutativity of a prime ring $R$ with an involution $\ast$ that fulfills particular algebraic identities for symmetric and skew symmetric elements. In practice, certain well-known problems, such as the Herstein problem, have been studied in the setting of three derivations in involuted rings. KCI Citation Count: 0
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.c230128