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Generalized derivations in ring with involution involving symmetric and skew symmetric elements

Abdellah Mamouni|Souad Dakir|Hajar El Mir
대한수학회 (The Korean Mathematical Society)|2024.01|대한수학회논문집 (Communications of the KMS)|제39권 제1호|pp. 1-10|DOI 10.4134/CKMS.c230052

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키워드

involutionprime ringGeneralized derivationsymmetric and skew symmetric element
주제분류수학

초록

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.

Abstract

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.

참고문헌 (15)

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