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Communications in Algebra Volume 36, 2008 - Issue 5
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Original Articles

Multiplicative Lie Isomorphisms Between Prime Rings

Zhaofang Bai School of Mathematical Sciences, Xiamen University, Xiamen, China; Department of Mathematics, Shanxi Normal University, Linfen, China
,
Shuanping Du School of Mathematical Sciences, Xiamen University, Xiamen, China; Department of Mathematics, Shanxi Normal University, Linfen, ChinaCorrespondence[email protected]
&
Jinchuan Hou Department of Mathematics, Shanxi Normal University, Linfen, China; Department of Mathematics, Taiyuan University of Technology, Taiyuan, China
Pages 1626-1633 | Received 22 Feb 2007, Published online: 20 Jun 2008

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Ali Taghavi, Hamid Rohi & Vahid Darvish. (2016) Non-linear *-Jordan derivations on von Neumann algebras. Linear and Multilinear Algebra 64:3, pages 426-439.
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Xinfeng Liang, Feng Wei, Zhankui Xiao & Ajda Fošner. (2015) Centralizing traces and Lie triple isomorphisms on generalized matrix algebras. Linear and Multilinear Algebra 63:9, pages 1786-1816.
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Changjing Li, Xiaochun Fang, Fangyan Lu & Ting Wang. (2014) Lie Triple Derivable Mappings on Rings. Communications in Algebra 42:6, pages 2510-2527.
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Wu Jing & Fangyan Lu. (2012) Lie derivable mappings on prime rings. Linear and Multilinear Algebra 60:2, pages 167-180.
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Cheng-Kai Liu & Pao-Kuei Liau. (2011) Strong commutativity preserving generalized derivations on Lie ideals. Linear and Multilinear Algebra 59:8, pages 905-915.
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Xiaofei Qi & Jinchuan Hou. (2011) Additivity of Lie multiplicative maps on triangular algebras. Linear and Multilinear Algebra 59:4, pages 391-397.
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Articles from other publishers (13)

Ali Taghavi, Mehran Razeghi, Mojtaba Nouri & Vahid Darvish. (2019) Maps preserving triple product A∗B + BA∗ on ∗-algebras. Asian-European Journal of Mathematics 12:03, pages 1950038.
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Ali Taghavi, Vahid Darvish & Hamid Rohi. (2017) Additivity of maps preserving products AP ± PA * on C * -algebras . Mathematica Slovaca 67:1, pages 213-220.
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Mohammad Ashraf & Nazia Parveen. (2015) On Lie higher derivable mappings on prime rings. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 57:1, pages 137-153.
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Zhaofang Bai & Shuanping Du. (2014) Strong commutativity preserving maps on rings. Rocky Mountain Journal of Mathematics 44:3.
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Xiaofei Qi, Jinchuan Hou & Juan Deng. (2014) Lie ring isomorphisms between nest algebras on Banach spaces. Journal of Functional Analysis 266:7, pages 4266-4292.
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Yamin Song, Jinchuan Hou & Xiaofei Qi. (2014) Characterizing -Lie Multiplicative Isomorphisms on Von Neumann Algebras . Abstract and Applied Analysis 2014, pages 1-9.
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Changjing Li, Fangyan Lu & Xiaochun Fang. (2013) Nonlinear mappings preserving product on factor von Neumann algebras . Linear Algebra and its Applications 438:5, pages 2339-2345.
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Cheng-Kai Liu. (2011) Strong commutativity preserving generalized derivations on right ideals. Monatshefte für Mathematik 166:3-4, pages 453-465.
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Pao-Kuei Liau, Wei-Lu Huang & Cheng-Kai Liu. (2012) Nonlinear strong commutativity preserving maps on skew elements of prime rings with involution. Linear Algebra and its Applications 436:9, pages 3099-3108.
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Lajos Molnár & Peter Šemrl. (2012) Transformations of the unitary group on a Hilbert space. Journal of Mathematical Analysis and Applications 388:2, pages 1205-1217.
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Zhaofang Bai & Shuanping Du. (2012) Maps preserving products on von Neumann algebras . Journal of Mathematical Analysis and Applications 386:1, pages 103-109.
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XiaoFei Qi & JinChuan Hou. (2011) Characterization of Lie multiplicative isomorphisms between nest algebras. Science China Mathematics 54:11, pages 2453-2462.
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Jer-Shyong Lin & Cheng-Kai Liu. (2010) Strong commutativity preserving maps in prime rings with involution. Linear Algebra and its Applications 432:1, pages 14-23.
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