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Generalized derivations with annihilator conditions in prime rings

Yu Wang
대한수학회 (The Korean Mathematical Society)|2011.09|대한수학회보 (Bulletin of the KMS)|제48권 제5호|pp. 917-922

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참고문헌

키워드

derivationgeneralized derivationprime ringUtumi quotient ringextended centroid
주제분류수학

초록

Let R be a prime ring, H a generalized derivation of R, L a noncentral Lie ideal of R, and 0≠ a∈ R. Suppose that au^sH(u)u^t=0 for all u∈ L, where s,t≥0 are fixed integers. Then H=0 unless R satisfies S_4, the standard identity in four variables.

Abstract

Let R be a prime ring, H a generalized derivation of R, L a noncentral Lie ideal of R, and 0≠ a∈ R. Suppose that au^sH(u)u^t=0 for all u∈ L, where s,t≥0 are fixed integers. Then H=0 unless R satisfies S_4, the standard identity in four variables.

참고문헌 (20)

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관련 논문AI추천

Notes on generalized derivations on Lie ideals in prime ringsBasudeb Dhara, Vincenzo De Filippis대한수학회 · 대한수학회보2009 · 제46권 제3호Annihilating Conditions of Generalized Skew Derivations on Lie IdealsJunaid Nisar, Nadeem Ur Rehman, Sajad Ahmad Pary경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제3호Derivations with annihilator conditions in prime ringsBasudeb Dhara, Sachhidananda Mondal, Sukhendu Kar대한수학회 · 대한수학회보2013 · 제50권 제5호A NOTE ON SKEW DERIVATIONS IN PRIME RINGSAjda Fonsner, Vincenzo De Filippis대한수학회 · 대한수학회보2012 · 제49권 제4호Generalized derivations on semiprime ringsVincenzo De Filippis대한수학회 · 대한수학회보2011 · 제48권 제6호Generalized derivations with centralizing conditions in prime ringsBasudeb Dhara, Priyadwip Das, Sukhendu Kar대한수학회 · 대한수학회논문집2019 · 제34권 제1호

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