논문KCI 등재
Generalized Derivations on *-prime Rings
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초록
Let I be a *-ideal on a 2-torsion free *-prime ring and F : R → R a generalized derivation with an associated derivation d : R → R. The aim of this paper is to explore the condition under which generalized derivation F becomes a left centralizer i.e., associated derivation d becomes a trivial map (i.e., zero map) on R.
Abstract
Let I be a *-ideal on a 2-torsion free *-prime ring and F : R → R a generalized derivation with an associated derivation d : R → R. The aim of this paper is to explore the condition under which generalized derivation F becomes a left centralizer i.e., associated derivation d becomes a trivial map (i.e., zero map) on R.
참고문헌 (5)
- E. Albas, "Generalized derivations of prime rings", Algebra Colloq, 11(3), pp.399~410 (2004)
- N. Argac, "On prime and semiprime rings with derivations", Algebra Colloq., 13(3), pp.371~380 (2006)
- H. E. Bell, "Centralizing mappings of semiprime rings", Canad. Math. Bull, 30(1), pp.92~101 (1987)
- N. H. McCoy, "The theory of rings" (1964), Macmillian
- E. C. Posner, "Derivations in prime rings", Proc. Amer. Math. Soc, 8, pp.1093~1100 (1957)
관련 논문AI추천
Generalized derivations on prime rings satisfying certain identitiesRadwan Mohammed Al-Omary, Syed Khalid Nauman대한수학회 · 대한수학회논문집2021 · 제36권 제2호Study of Generalized Derivations in Rings with InvolutionAdnan Abbasi, Muzibur Rahman Mozumder, Nadeem Ahmad Dar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호On Semiprime Rings with Generalized DerivationsMohammad Mueenul Hasnain, Mohd Rais Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호On generalized Jordan left derivations in ringsMohammad Ashraf, Shakir Ali대한수학회 · 대한수학회보2008 · 제45권 제2호Commutativity of multiplicative $b$-generalized derivations of prime ringsAdnan Abbasi, Mohd Arif Raza, Muzibur Rahman Mozumder, Wasim Ahmed강원경기수학회 · 한국수학논문집2023 · 제31권 제1호Generalized derivations on semiprime ringsVincenzo De Filippis대한수학회 · 대한수학회보2011 · 제48권 제6호
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