Cheng-Kai Liu

608 total citations
56 papers, 449 citations indexed

About

Cheng-Kai Liu is a scholar working on Algebra and Number Theory, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Cheng-Kai Liu has authored 56 papers receiving a total of 449 indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Algebra and Number Theory, 48 papers in Geometry and Topology and 13 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Cheng-Kai Liu's work include Advanced Topics in Algebra (54 papers), Algebraic structures and combinatorial models (47 papers) and Rings, Modules, and Algebras (25 papers). Cheng-Kai Liu is often cited by papers focused on Advanced Topics in Algebra (54 papers), Algebraic structures and combinatorial models (47 papers) and Rings, Modules, and Algebras (25 papers). Cheng-Kai Liu collaborates with scholars based in Taiwan, China and Canada. Cheng-Kai Liu's co-authors include Chen-Lian Chuang and Tsiu‐Kwen Lee and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Proceedings of the American Mathematical Society and Linear Algebra and its Applications.

In The Last Decade

Cheng-Kai Liu

50 papers receiving 429 citations

Peers

Cheng-Kai Liu
Zhankui Xiao China
Vincenzo De Filippis Italy
Basudeb Dhara India
Victor Petrogradsky Russia
M. N. Daif Canada
Bojan Hvala Slovenia
Onofrio Mario Di Vincenzo Italy
Kazuhiko Kurano Japan
Alexander Kemer Russia
Maja Fošner Slovenia
Zhankui Xiao China
Cheng-Kai Liu
Citations per year, relative to Cheng-Kai Liu Cheng-Kai Liu (= 1×) peers Zhankui Xiao

Countries citing papers authored by Cheng-Kai Liu

Since Specialization
Citations

This map shows the geographic impact of Cheng-Kai Liu's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Cheng-Kai Liu with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Cheng-Kai Liu more than expected).

Fields of papers citing papers by Cheng-Kai Liu

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Cheng-Kai Liu. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Cheng-Kai Liu. The network helps show where Cheng-Kai Liu may publish in the future.

Co-authorship network of co-authors of Cheng-Kai Liu

This figure shows the co-authorship network connecting the top 25 collaborators of Cheng-Kai Liu. A scholar is included among the top collaborators of Cheng-Kai Liu based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Cheng-Kai Liu. Cheng-Kai Liu is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Liu, Cheng-Kai, et al.. (2024). Commuting additive maps on upper triangular and strictly upper triangular infinite matrices. Electronic Journal of Linear Algebra. 40. 361–369.
2.
Liu, Cheng-Kai, et al.. (2023). Commuting maps on strictly upper triangular matrix rings. Operators and Matrices. 1023–1036.
3.
Liu, Cheng-Kai, et al.. (2023). Triple derivable maps on prime algebras with involution. Communications in Algebra. 51(9). 3810–3824.
4.
Liu, Cheng-Kai, et al.. (2023). Power cocentralizing generalized derivations on left ideals of prime rings. Journal of Algebra and Its Applications. 24(6).
5.
Liu, Cheng-Kai, et al.. (2017). Power commuting additive maps on invertible or singular matrices. Linear Algebra and its Applications. 530. 127–149. 11 indexed citations
6.
Liu, Cheng-Kai, et al.. (2015). Skew Derivations in Banach Algebras. Proceedings of the Edinburgh Mathematical Society. 58(3). 683–696. 4 indexed citations
7.
Liu, Cheng-Kai, et al.. (2014). Invariants of algebraic derivations and automorphisms in Banach algebras. Journal of Algebra. 403. 313–323. 1 indexed citations
8.
Liu, Cheng-Kai. (2014). Strong commutativity preserving maps on subsets of matrices that are not closed under addition. Linear Algebra and its Applications. 458. 280–290. 15 indexed citations
9.
Liu, Cheng-Kai. (2012). Skew Derivations with Nilpotent Values in Rings and Banach Algebras. Communications in Algebra. 40(11). 4336–4345. 6 indexed citations
10.
Liu, Cheng-Kai, et al.. (2011). On Automorphisms and Commutativity in Semiprime Rings. Canadian Mathematical Bulletin. 56(3). 584–592. 10 indexed citations
11.
Liu, Cheng-Kai, et al.. (2011). Generalized Lie derivations on skew elements of prime algebras with involution. Linear Algebra and its Applications. 435(1). 67–76. 2 indexed citations
12.
Liu, Cheng-Kai, et al.. (2011). On the composition of q-skew derivations in Banach algebras. Linear Algebra and its Applications. 434(12). 2413–2429. 3 indexed citations
13.
Liu, Cheng-Kai, et al.. (2011). Nonlinear strong commutativity preserving maps on skew elements of prime rings with involution. Linear Algebra and its Applications. 436(9). 3099–3108. 6 indexed citations
14.
Liu, Cheng-Kai. (2011). A note on generalized derivations in Banach algebras. Journal of Mathematical Analysis and Applications. 384(2). 192–197. 2 indexed citations
15.
Liu, Cheng-Kai, et al.. (2009). Strong commutativity preserving maps in prime rings with involution. Linear Algebra and its Applications. 432(1). 14–23. 17 indexed citations
16.
Liu, Cheng-Kai, et al.. (2008). On generalized Lie derivations of Lie ideals of prime algebras. Linear Algebra and its Applications. 430(4). 1236–1242. 17 indexed citations
17.
Liu, Cheng-Kai, et al.. (2007). Jordan isomorphisms of upper triangular matrix rings. Linear Algebra and its Applications. 426(1). 143–148. 7 indexed citations
18.
Liu, Cheng-Kai, et al.. (2007). Strong commutativity preserving maps on Lie ideals. Linear Algebra and its Applications. 428(7). 1601–1609. 38 indexed citations
19.
Liu, Cheng-Kai. (2004). The vanishing order of certain Hecke L-functions of imaginary quadratic fields. Journal of Number Theory.
20.
Lee, Tsiu‐Kwen & Cheng-Kai Liu. (2004). Spectrally bounded 𝜙–derivations on Banach algebras. Proceedings of the American Mathematical Society. 133(5). 1427–1435. 10 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Zhankui Xiao Breakdown of academic impact, for papers by Vincenzo De Filippis Breakdown of academic impact, for papers by Basudeb Dhara Breakdown of academic impact, for papers by Victor Petrogradsky Breakdown of academic impact, for papers by M. N. Daif Breakdown of academic impact, for papers by Bojan Hvala Breakdown of academic impact, for papers by Onofrio Mario Di Vincenzo Breakdown of academic impact, for papers by Kazuhiko Kurano Breakdown of academic impact, for papers by Alexander Kemer Breakdown of academic impact, for papers by Maja Fošner
Rankless by CCL
2026