Research Output per year

## Fingerprint Dive into the research topics where Cheng-Kai Liu is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Skew Derivation
Mathematics

Prime Ring
Mathematics

Generalized Derivation
Mathematics

Banach algebra
Mathematics

Commutativity
Mathematics

Extended Centroid
Mathematics

Semiprime Ring
Mathematics

Lie Ideal
Mathematics

##
Network
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## Research Output 2005 2019

- 360 Citations
- 12 h-Index
- 50 Article

1
Citation
(Scopus)

## Power commuting additive maps on rank-k linear transformations

Chou, PH. & Liu, C-K., 2019 Jan 1, In : Linear and Multilinear Algebra.Research output: Contribution to journal › Article

Linear transformation

Invertible matrix

Singular matrix

Integer

Division ring or skew field

1
Citation
(Scopus)

## An Engel condition with b -generalized derivations for Lie ideals

Liau, P. K. & Liu, C-K., 2018 Mar 1, In : Journal of Algebra and its Applications. 17, 3, 1850046.Research output: Contribution to journal › Article

Skew Derivation

Lie Ideal

Generalized Derivation

Algebra

Extended Centroid

## Generalized derivations preserving quasinilpotent elements in Banach algebras

Liu, C-K. & Liau, P. K., 2018 Sep 2, In : Linear and Multilinear Algebra. 66, 9, p. 1888-1908 21 p.Research output: Contribution to journal › Article

Generalized Derivation

Banach algebra

Commutative Banach Algebra

Regular Element

Locally Compact Group

2
Citations
(Scopus)

## Nonadditive strong commutativity preserving maps on rank–k matrices over division rings

Liu, C. K., Liau, P. K. & Tsai, Y. T., 2018 Jun, In : Operators and Matrices. 12, 2, p. 563-578 16 p.Research output: Contribution to journal › Article

Division ring or skew field

Commutativity

Integer

Ring

## The structure of triple homomorphisms onto prime algebras

Liu, C-K., 2018 Jan 1, (Accepted/In press) In : Mathematical Proceedings of the Cambridge Philosophical Society.Research output: Contribution to journal › Article

Homomorphisms

Banach algebra

Algebra

C*-algebra

Standard Operator Algebra