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

Abdellah Mamouni|Hanane Aharssi|Kamal Charrabi
대한수학회 (The Korean Mathematical Society)|2024.01|대한수학회논문집 (Communications of the KMS)|제39권 제1호|pp. 79-91|DOI 10.4134/CKMS.c230128

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키워드

Prime ringcommutativityinvolutiongeneralized derivationsymmetric elementsskew symmetric elements
주제분류수학

초록

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.

Abstract

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.

참고문헌 (14)

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  10. M. R. Mozumder, "Study of commutativity theorems in rings with involution", Palest. J. Math, 11(3), pp.394~401 (2022)
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관련 논문AI추천

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