논문KCI 등재
Derivations acting on symmetric elements with central values
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Our purpose in this paper is to prove that the set of hermitian elements, defined by commutativity conditions involving derivations over prime rings with involution $*$, are either central elements or their square are central elements. Furthermore, we can find the same results for the set of skew-hermitian elements.
Abstract
Our purpose in this paper is to prove that the set of hermitian elements, defined by commutativity conditions involving derivations over prime rings with involution $*$, are either central elements or their square are central elements. Furthermore, we can find the same results for the set of skew-hermitian elements.
관련 논문AI추천
Generalized derivations in ring with involution involving symmetric and skew symmetric elementsAbdellah Mamouni, Hajar El Mir, Souad Dakir대한수학회 · 대한수학회논문집2024 · 제39권 제1호Results of 3-derivations and commutativity for prime rings with involution involving symmetric and skew symmetric componentsAbdellah Mamouni, Hanane Aharssi, Kamal Charrabi대한수학회 · 대한수학회논문집2024 · 제39권 제1호On derivations and commuting like elements in prime ringsJihad Benzaid, Lahcen Oukhtite, Omar Ait Zemzami장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호On n-skew Lie Products on Prime Rings with InvolutionMohammad Salahuddin Khan, Muzibur Rahman Mozumder, Shakir Ali경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제1호Commutativity criteria of prime rings involving two endomorphismsAbdellah Mamouni, Mohammed Tamekkante, Souad Dakir대한수학회 · 대한수학회논문집2022 · 제37권 제3호Study of Generalized Derivations in Rings with InvolutionAdnan Abbasi, Muzibur Rahman Mozumder, Nadeem Ahmad Dar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호
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