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A REMARK ON GENERALIZED DERIVATIONS IN RINGS AND ALGEBRAS

Nadeem Ur Rehman
한국수학교육학회|2018.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제25권 제3호|pp. 181-191|DOI https://doi.org/10.7468/jksmeb.2018.25.3.181

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참고문헌

키워드

generalized derivationsgeneralized polynomial identity (GPI).
주제분류수학

초록

In the present paper, we investigate the action of generalized derivation G associated with a derivation g in a (semi-) prime ring R satisfying (G([x; y]) - [G(x); y])n = 0 for all x, y ∈ I, a nonzero ideal of R, where n is a fixed positive integer. Moreover, we also examine the above identity in Banach algebras.

Abstract

In the present paper, we investigate the action of generalized derivation G associated with a derivation g in a (semi-) prime ring R satisfying (G([x; y]) - [G(x); y])n = 0 for all x, y ∈ I, a nonzero ideal of R, where n is a fixed positive integer. Moreover, we also examine the above identity in Banach algebras.

참고문헌 (26)

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관련 논문AI추천

Generalized derivations on semiprime ringsVincenzo De Filippis대한수학회 · 대한수학회보2011 · 제48권 제6호On generalized derivations in rings and Banach algebrasAbderrahman Hermas, Karim Bouchannafa, Lahcen Oukhtite장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호On Semiprime Rings with Generalized DerivationsMohammad Mueenul Hasnain, Mohd Rais Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호Generalized derivations in prime rings and noncommutative Banach algebrasVincenzo De Filippis대한수학회 · 대한수학회보2008 · 제45권 제4호Derivations with Power Values on Lie Ideals in Rings and Banach AlgebrasMohd Arif Raza, Nadeem ur Rehman, Najat Mohammed Muthana경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호JORDAN DERIVATIONS ON A LIE IDEAL OF A SEMIPRIME RING AND THEIR APPLICATIONS IN BANACH ALGEBRAS김병도한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제4호

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