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A note on Jordan derivations of trivial generalized matrix algebras

Yanbo Li|Chenyou Zheng
대한수학회 (The Korean Mathematical Society)|2017.04|대한수학회논문집 (Communications of the KMS)|제32권 제2호|pp. 261-266

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키워드

Jordan derivationJordan higher derivationtrivial generalized matrix algebra
주제분류수학

초록

H. R. Ebrahimi Vishki et al. conjectured in \cite{EMM}, that if every Jordan higher derivation on a trivial generalized matrix algebra $\mathcal{G}=(A,M,N,B)$ is a higher derivation, then either $M=0$ or $N=0$. In this note, we will give a class of counter examples.

Abstract

H. R. Ebrahimi Vishki et al. conjectured in \cite{EMM}, that if every Jordan higher derivation on a trivial generalized matrix algebra $\mathcal{G}=(A,M,N,B)$ is a higher derivation, then either $M=0$ or $N=0$. In this note, we will give a class of counter examples.

참고문헌 (18)

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관련 논문AI추천

Jordan higher derivations on trivial extension algebrasFahimeh Moafian, Hamid Reza Ebrahimi Vishki, Madjid Mirzavaziri대한수학회 · 대한수학회논문집2016 · 제31권 제2호Jordan generalized derivations on trivial extension algebrasAzam Erfanian Attar, Barahim Fahid, Driss Bennis, Hamid Reza Ebrahimi Vishki, Mohammad Ali Bahmani대한수학회 · 대한수학회논문집2018 · 제33권 제3호On generalized Jordan derivations of generalized matrix algebrasAisha Jabeen, Mohammad Ashraf대한수학회 · 대한수학회논문집2020 · 제35권 제3호Generalized Jordan triple higher derivations on semiprime ringsFeng Wei, Zhankui Xiao대한수학회 · 대한수학회보2009 · 제46권 제3호On Jordan and Jordan higher derivable maps of ringsLei Liu대한수학회 · 대한수학회보2020 · 제57권 제4호A note on generalized derivations as a Jordan homomorphismsArusha Chandrasekhar, Shailesh Kumar Tiwari대한수학회 · 대한수학회보2020 · 제57권 제3호

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