Liang Kong
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Liang Kong has a total of 8 co-authors. Here are the top co-authors by number of shared publications:
- Jianhua Zhang
School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, People’s Republic of China
4 shared publications - Fenhong Li
School of Mathematics and Computer Application, Shangluo University, Shangluo 726000, China
3 shared publications - Fugang Chao
School of Mathematics and Computer Application, Shangluo University, Shangluo 726000, China
3 shared publications - Yimeng Yue
School of Mathematics and Computer Application, Shangluo University, Shangluo 726000, China
3 shared publications - Chao Li
Institute of Applied Mathematics, Shangluo University, Shangluo, China
2 shared publications - Don Hadwin
Mathematics Department, University of New Hampshire, Durham, NH 03824, USA
1 shared publication
Latest Publications
- Open Access
Nonlinear Mixed Skew Jordan-Type Higher Derivations on ∗-Algebras
Let be a unital ∗-algebra containing a nontrivial projection P. In this paper, we introduce the notion of a nonlinear mixed skew Jordan-type derivation (that is, , where and for all ) and show that if a map : satisfies , for all and all , then is an additive ∗-derivation. Furthermore, we generalize this result to higher derivable maps on . As applications, the above result is applied to several special classes of unital ∗-algebras such as prime ∗-algebras, factor von Neumann algebras and standard operator algebras.Open AccessNonlinear Mixed Skew Jordan-Type Higher Derivations on ∗-Algebras
Let be a unital ∗-algebra containing a nontrivial projection P. In this paper, we introduce the notion of a nonlinear mixed skew Jordan-type derivation (that is, , where and for all ) and show that if a map : satisfies , for all and all , then is an additive ∗-derivation. Furthermore, we generalize this result to higher derivable maps on . As applications, the above result is applied to several special classes of unital ∗-algebras such as prime ∗-algebras, factor von Neumann algebras and standard operator algebras. - Open Access
- 15 March 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (6) , 997
Nonlinear Mixed Bi-Skew Jordan-Type Higher Derivations on ∗-Algebras
Let be a unital ∗-algebra containing a nontrivial projection. In this paper, we show that every nonlinear mixed bi-skew Jordan-type higher derivation on is an additive higher ∗-derivation. Moreover, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras.- 15 March 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (6) , 997
Open AccessNonlinear Mixed Bi-Skew Jordan-Type Higher Derivations on ∗-Algebras
Let be a unital ∗-algebra containing a nontrivial projection. In this paper, we show that every nonlinear mixed bi-skew Jordan-type higher derivation on is an additive higher ∗-derivation. Moreover, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras. - Open Access
- 4 February 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (3) , 560
Nonlinear ξ-Bi-Skew Lie Triple Derivations on ∗-Algebras
Let be a unital associative ∗-algebra over the complex field containing a nontrivial projection and be a nonzero scalar. In this paper, we give a characterization of -bi-skew Lie triple derivation on . As applications, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras.- 4 February 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (3) , 560
Open AccessNonlinear ξ-Bi-Skew Lie Triple Derivations on ∗-Algebras
Let be a unital associative ∗-algebra over the complex field containing a nontrivial projection and be a nonzero scalar. In this paper, we give a characterization of -bi-skew Lie triple derivation on . As applications, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras. - Open Access
- 1 January 2025
- Published by National Library of Serbia in Filomat
- Vol. 39 (16) , 5575-5585
Nonlinear ξ-bi-skew Lie derivations on prime *-algebras
Let A be a unital prime *-algebra containing a nontrivial projection and ? be a nonzero scalar. We prove that a map ? : A ? A satisfies ?([A, B]? ?) = [?(A), B]? ? + [A,?(B)]? ? for all A, B ? A if and only if ? is an additive ?-derivation and ?(?A) = ??(A) for all A ? A, where [A, B]? ? = AB? ? ?BA?.
- 1 January 2025
- Published by National Library of Serbia in Filomat
- Vol. 39 (16) , 5575-5585
Open AccessNonlinear ξ-bi-skew Lie derivations on prime *-algebras
Let A be a unital prime *-algebra containing a nontrivial projection and ? be a nonzero scalar. We prove that a map ? : A ? A satisfies ?([A, B]? ?) = [?(A), B]? ? + [A,?(B)]? ? for all A, B ? A if and only if ? is an additive ?-derivation and ?(?A) = ??(A) for all A ? A, where [A, B]? ? = AB? ? ?BA?.
- Open Access
- 1 January 2025
- Published by Wiley in Journal of Mathematics
- Vol. 2025 (1)
A Characterization of Nonadditive Skew Commuting Maps on ∗‐Algebras
Let be a unital ∗‐algebra with the unit I and be the symmetric center of . Assume that contains a nontrivial projection P such that implies A = 0 and implies A = 0. In this paper, we proved that if a map satisfies [ φ ( A ), B ] ∗ = −[ φ ( B ), A ] ∗ for all , then there exists a map such that φ ( A ) = Z A + f ( A ) for all , where . As applications, we obtain the concrete form of nonadditive skew commuting maps on prime ∗‐algebra, factor von Neumann algebras and standard operator algebras.
- 1 January 2025
- Published by Wiley in Journal of Mathematics
- Vol. 2025 (1)
Open AccessA Characterization of Nonadditive Skew Commuting Maps on ∗‐Algebras
Let be a unital ∗‐algebra with the unit I and be the symmetric center of . Assume that contains a nontrivial projection P such that implies A = 0 and implies A = 0. In this paper, we proved that if a map satisfies [ φ ( A ), B ] ∗ = −[ φ ( B ), A ] ∗ for all , then there exists a map such that φ ( A ) = Z A + f ( A ) for all , where . As applications, we obtain the concrete form of nonadditive skew commuting maps on prime ∗‐algebra, factor von Neumann algebras and standard operator algebras.
- 24 November 2022
- Published by Springer Nature in Ukrainian Mathematical Journal
- Vol. 74 (6) , 946-952
Nonlinear Skew Commuting Maps on *-Rings
- 24 November 2022
- Published by Springer Nature in Ukrainian Mathematical Journal
- Vol. 74 (6) , 946-952
Nonlinear Skew Commuting Maps on *-Rings
- 30 May 2022
- Published by Springer Nature in Indian Journal of Pure and Applied Mathematics
- Vol. 54 (2) , 475-484
Nonlinear skew Lie derivations on prime $*$-rings- 30 May 2022
- Published by Springer Nature in Indian Journal of Pure and Applied Mathematics
- Vol. 54 (2) , 475-484
Nonlinear skew Lie derivations on prime $*$-rings- 7 July 2020
- Published by Springer Nature in Bulletin of the Iranian Mathematical Society
- Vol. 47 (4) , 1097-1106
Nonlinear Bi-skew Lie Derivations on Factor von Neumann Algebras
- 7 July 2020
- Published by Springer Nature in Bulletin of the Iranian Mathematical Society
- Vol. 47 (4) , 1097-1106
Nonlinear Bi-skew Lie Derivations on Factor von Neumann Algebras
- Open Access
- 1 January 2020
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 18 (1) , 894-901
Jordan {g,h}-derivations on triangular algebras
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation onis a {g,h}-derivation if and only if or , where is a non-trivial nest on a complex separable Hilbert space H and is the associated nest algebra. - 1 January 2020
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 18 (1) , 894-901
Open AccessJordan {g,h}-derivations on triangular algebras
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation onis a {g,h}-derivation if and only if or , where is a non-trivial nest on a complex separable Hilbert space H and is the associated nest algebra. - Open Access
A note on linear approximately orthogonality preserving mappings
In this paper, linear $\varepsilon$-orthogonality preserving mappings are studied. We define $\hat{\varepsilon}\left(T\right) $ as the smallest $\varepsilon$ for which $T$ is $\varepsilon$-orthogonality preserving, and then derive an exact formula for $\hat{\varepsilon}\left( T\right) $ in terms of $\left \Vert T\right \Vert $ and the minimum modulus $m\left( T\right) $ of $T$. We see that $\varepsilon$-orthogonality preserving mappings (for some $\varepsilon<1$) are exactly the operators that are bounded from below. We improve an upper bounded in the stability equation given in [7, Theorem 2.3], which was thought to be sharp.Open AccessA note on linear approximately orthogonality preserving mappings
In this paper, linear $\varepsilon$-orthogonality preserving mappings are studied. We define $\hat{\varepsilon}\left(T\right) $ as the smallest $\varepsilon$ for which $T$ is $\varepsilon$-orthogonality preserving, and then derive an exact formula for $\hat{\varepsilon}\left( T\right) $ in terms of $\left \Vert T\right \Vert $ and the minimum modulus $m\left( T\right) $ of $T$. We see that $\varepsilon$-orthogonality preserving mappings (for some $\varepsilon<1$) are exactly the operators that are bounded from below. We improve an upper bounded in the stability equation given in [7, Theorem 2.3], which was thought to be sharp.