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Original Articles

Commuting maps on lie ideals

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Pages 5539-5553 | Received 01 May 1995, Published online: 27 Jun 2007

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Meher Abdaoui. (2023) Skew-symmetric biderivations and linear commuting maps on the conformal Galilei algebra. Communications in Algebra 51:4, pages 1663-1672.
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Xiaomin Tang & Yongyue Zhong. (2019) Biderivations of the planar Galilean conformal algebra and their applications. Linear and Multilinear Algebra 67:4, pages 649-659.
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Xiaomin Tang & Xiaotong Li. (2018) Biderivations of the twisted Heisenberg–Virasoro algebra and their applications. Communications in Algebra 46:6, pages 2346-2355.
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Xiaomin Tang. (2018) Biderivations of finite-dimensional complex simple Lie algebras. Linear and Multilinear Algebra 66:2, pages 250-259.
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Xiaomin Tang. (2017) Biderivations, linear commuting maps and commutative post-Lie algebra structures on W-algebras. Communications in Algebra 45:12, pages 5252-5261.
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Cihat Abdioğlu & Tsiu-Kwen Lee. (2017) A basic functional identity with applications to Jordan σ-biderivations. Communications in Algebra 45:4, pages 1741-1756.
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Zhengxin Chen & Bing Wang. (2015) Commuting Derivations and Automorphisms of Certain Nilpotent Lie Algebras Over Commutative Rings. Communications in Algebra 43:5, pages 2044-2061.
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Chih-Whi Chen, M. Tamer Koşan & Tsiu-Kwen Lee. (2013) Decompositions of Quotient Rings and m-Power Commuting Maps. Communications in Algebra 41:5, pages 1865-1871.
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K. I. Beidar, M. Bresˇar & M. A. Chebotar. (2002) FUNCTIONAL IDENTITIES WITH r-INDEPENDENT COEFFICIENTS. Communications in Algebra 30:12, pages 5725-5755.
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Tsiu-Kwen Lee. (2001) σ-COMMUTING MAPPINGS IN SEMIPRIME RINGS. Communications in Algebra 29:7, pages 2945-2951.
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K.I. Beidar & M.A. Chebotar. (2000) On functional identities and d-free subsets of rings. II. Communications in Algebra 28:8, pages 3953-3972.
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K.I. Beidar & M.A. Chebotar. (2000) On functional identities and d-free subsets of rings, I. Communications in Algebra 28:8, pages 3925-3951.
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Articles from other publishers (15)

Wai Leong Chooi, Li Yin Tan & Yean Nee Tan. (2023) On centralizing additive maps on rank one triangular matrices over division rings. Advances in Operator Theory 8:4.
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Cheng-Kai Liu & Yen-Fu Pu. (2021) The structure of n-commuting additive maps on Lie ideals of prime rings. Linear Algebra and its Applications 631, pages 328-361.
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W. L. Chooi, M. H. A. Mutalib & L. Y. Tan. (2021) Centralizing additive maps on rank r block triangular matrices. Acta Scientiarum Mathematicarum 87:1-2, pages 63-94.
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Cheng-Kai Liu. (2019) Additive n -commuting maps on semiprime rings . Proceedings of the Edinburgh Mathematical Society 63:1, pages 193-216.
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Zhengxin CHEN. (2014) Generalized derivations on parabolic subalgebras of general linear Lie algebras. Acta Mathematica Scientia 34:3, pages 814-828.
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Cheng-Kai Liu. (2014) Centralizing maps on invertible or singular matrices over division rings. Linear Algebra and its Applications 440, pages 318-324.
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Matej Brešar & Špela Špenko. (2012) On Lie and associative algebras containing inner derivations. Linear Algebra and its Applications 437:2, pages 648-658.
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V. De Filippis & F. Rania. (2011) Commuting and centralizing generalized derivations on lie ideals in prime rings. Mathematical Notes 88:5-6, pages 748-758.
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Винченцо Де Филиппис, Vincenzo De Filippis, Франческо Раниа & Francesco Rania. (2010) Коммутирующие и централизующие обобщенные дифференцирования на идеалах Ли в первичных кольцахCommuting and Centralizing Generalized Derivations on Lie Ideals in Prime Rings. Математические заметки Matematicheskie Zametki 88:5, pages 778-791.
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Nadia Boudi. (2009) Commutators with finite spectrum II. Acta Mathematica Sinica, English Series 25:5, pages 815-830.
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Matej Brešar, Mikhail A. Chebotar & Wallace S. Martindale3rd3rd. 2007. Functional Identities. Functional Identities 111 144 .
Matej Brešar, Mikhail A. Chebotar & Wallace S. Martindale3rd3rd. 2007. Functional Identities. Functional Identities 3 28 .
Matej Breˇsar. (2004) COMMUTING MAPS: A SURVEY. Taiwanese Journal of Mathematics 8:3.
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Константин Игоревич Бейдар, Konstantin Igorevich Beidar, Александр Васильевич Михалeв, Aleksandr Vasil'evich Mikhalev, Михаил Александрович Чеботарь & Mikhail Aleksandrovich Chebotar. (2004) Функциональные тождества в кольцах и их приложенияFunctional identities in rings and their applications. Успехи математических наук Uspekhi Matematicheskikh Nauk 59:3, pages 3-30.
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K. I. Beidar, M. Brešar & M. A. Chebotar. (2000) Functional identities on upper triangular matrix algebras. Journal of Mathematical Sciences 102:6, pages 4557-4565.
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