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Publications by Cheng-Kai Liu
Nonadditive Strong Commutativity Preserving Maps on Rank-K Matrices Over Division Rings
Operators and Matrices
Number Theory
Analysis
Algebra
Variable Liquid Crystal Pretilt Angles Generated by Photoalignment in Homeotropically Aligned Azo Dye-Doped Liquid Crystals
Applied Physics Letters
Astronomy
Physics
Related publications
Strong Commutativity Preserving Generalized Derivations on Triangular Rings
Operators and Matrices
Number Theory
Analysis
Algebra
Commuting Maps on Rank-K Matrices
Electronic Journal of Linear Algebra
Number Theory
Algebra
A Note on $K$-Commutativity of Matrices
Proceedings of the American Mathematical Society
Mathematics
Applied Mathematics
A Note on Commutativity Preserving Maps on M_n(ℝ)
Operators and Matrices
Number Theory
Analysis
Algebra
On Transposes of Nilpotent Matrices Over Arbitrary Rings
Journal of the Australian Mathematical Society
Mathematics
Solvable Linear Groups Over Division Rings
Proceedings of the American Mathematical Society
Mathematics
Applied Mathematics
On the Commutativity of Torsion Free Rings
Bulletin of the Australian Mathematical Society
Mathematics
On Structure and Commutativity of Near - Rings
Proyecciones
Mathematics
On Commutativity of Rings With Some Polynomial Constraints
Bulletin of the Australian Mathematical Society
Mathematics