GENERALIZED DERIVATIONS IN RING WITH INVOLUTION INVOLVING SYMMETRIC AND SKEW SYMMETRIC ELEMENTS

GENERALIZED DERIVATIONS IN RING WITH INVOLUTION INVOLVING SYMMETRIC AND SKEW SYMMETRIC ELEMENTS

In this paper we will demonstrate some results on a prime ring with involution by introducing two generalized derivations acting on symmetric and skew symmetric elements. This approach allows us to generalize some well known results. Furthermore, we provide examples to show that various restrictions...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2024, Vol.39 (1), p.1-10
Hauptverfasser: Souad Dakir, Hajar El Mir, Abdellah Mamouni
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Hajar El Mir
Abdellah Mamouni
description In this paper we will demonstrate some results on a prime ring with involution by introducing two generalized derivations acting on symmetric and skew symmetric elements. This approach allows us to generalize some well known results. Furthermore, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not superfluous.
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title GENERALIZED DERIVATIONS IN RING WITH INVOLUTION INVOLVING SYMMETRIC AND SKEW SYMMETRIC ELEMENTS
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