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Communications in Algebra Volume 38, 2010 - Issue 8
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Original Articles

Nonlinear Strong Commutativity Preserving Maps on Prime Rings

Xiaofei Qi Department of Mathematics, Shanxi University, Taiyuan, ChinaCorrespondence[email protected]
&
Jinchuan Hou Department of Mathematics, Shanxi University, Taiyuan, China; Department of Mathematics, Taiyuan University of Technology, Taiyuan, China
Pages 2790-2796 | Received 01 Apr 2009, Published online: 18 Aug 2010

Citations (21)

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Xiaofei Qi, Jinchuan Hou & Wei Wang. (2023) Strong 3-skew commutativity preserving maps on prime rings with involution. Communications in Algebra 51:9, pages 3854-3872.
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Wai Leong Chooi, Li Yin Tan & Yean Nee Tan. (2022) Strong commutativity preserving additive maps on rank k triangular matrices. Linear and Multilinear Algebra 0:0, pages 1-24.
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Ali Taghavi, Farzaneh Kolivand & Ensiyeh Tavakoli. (2019) A note on strong (skew) η-Lie products preserving maps on some algebras. Linear and Multilinear Algebra 67:5, pages 886-895.
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Jinchuan Hou & Xiaofei Qi. (2018) Strong k-commutativity preservers on complex standard operator algebras. Linear and Multilinear Algebra 66:5, pages 902-918.
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Xiaofei Qi & Jinchuan Hou. (2017) Strong 3-commutativity preserving maps on prime rings. Linear and Multilinear Algebra 65:11, pages 2153-2169.
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Lin Gong, Xiaofei Qi, Jie Shao & Feifei Zhang. (2015) Strong (skew) ξ-Lie commutativity preserving maps on algebras. Cogent Mathematics 2:1.
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Lei Liu. (2015) Strong commutativity preserving maps on von Neumann algebras. Linear and Multilinear Algebra 63:3, pages 490-496.
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Vincenzo De Filippis & Giovanni Scudo. (2013) Strong commutativity and Engel condition preserving maps in prime and semiprime rings. Linear and Multilinear Algebra 61:7, pages 917-938.
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Tsiu-Kwen Lee & Tsai-Lien Wong. (2012) Nonadditive Strong Commutativity Preserving Maps. Communications in Algebra 40:6, pages 2213-2218.
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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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Articles from other publishers (11)

Zhengxin Chen & Hongjin Liu. (2019) Strong commutativity preserving maps of strictly triangular matrix Lie algebras. Journal of Algebra and Its Applications 18:07, pages 1950134.
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Jinchuan Hou & Wei Wang. (2017) Strong 2-skew Commutativity Preserving Maps on Prime Rings with Involution. Bulletin of the Malaysian Mathematical Sciences Society 42:1, pages 33-49.
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Ali Taghavi & Farzaneh Kolivand. (2017) A note on strong skew Jordan product preserving maps on von Neumann algebras. Periodica Mathematica Hungarica 75:2, pages 330-335.
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Mei Yun Liu & Jin Chuan Hou. (2017) Strong 3-commutativity preserving maps on standard operator algebras. Acta Mathematica Sinica, English Series 33:12, pages 1659-1670.
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Ali Taghavi & Farzaneh Kolivand. (2017) Maps preserving strong 2-Jordan product on some algebras. Asian-European Journal of Mathematics 10:03, pages 1750044.
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Cheng-Kai Liu. (2014) Strong commutativity preserving maps on subsets of matrices that are not closed under addition. Linear Algebra and its Applications 458, pages 280-290.
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Wei Zhang & Xiaowei Xu. (2014) NONADDITIVE STRONG COMMUTATIVITY PRESERVING DERIVATIONS AND ENDOMORPHISMS. Bulletin of the Korean Mathematical Society 51:4, pages 1127-1133.
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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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Cheng-Kai Liu. (2012) On Skew Derivations in Semiprime Rings. Algebras and Representation Theory 16:6, pages 1561-1576.
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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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