참고문헌
- H. R. Ebrahimi Vishki, M. Mirzavaziri, and F. Moafian, Jordan higher derivations on trivial extenion algebras, Commun. Korean Math. Soc. 31 (2016), no. 2, 247-259. https://doi.org/10.4134/CKMS.2016.31.2.247
- A. Haghany, Hopficity and co-Hopficity for Morita contexts, Comm. Algebra 27 (1999), no. 1, 477-492. https://doi.org/10.1080/00927879908826443
- I. N. Herstein, Jordan derivations of prime rings, Proc. Amer. Math. Soc. 8 (1957), 1104-1110. https://doi.org/10.1090/S0002-9939-1957-0095864-2
- N. Jacobson and C. Rickart, Jordan homomorphisms of rings, Trans. Amer. Math. Soc. 69 (1950), 479-502. https://doi.org/10.1090/S0002-9947-1950-0038335-X
- Y.-B. Li and F. Wei, Semi-centralizing maps of generalized matrix algebras, Linear Algebra Appl. 436 (2012), no. 5, 1122-1153. https://doi.org/10.1016/j.laa.2011.07.014
- Y.-B. Li and F. Wei, Jordan derivations and Lie derivations of path algebras, Bulletin of the Iranian Mathematical Society, accepted, (2015).
- Y.-B. Li and F. Wei, Lie derivations of dual extensions of algebras, Colloq. Math. 143 (2015), no. 1, 65-82.
- Y.-B. Li and F. Wei, Jordan derivations of two extensions of algebras, Preprint.
- Y.-B. Li, L. V. Wyk, and F. Wei, Jordan derivations and antiderivations of generalized matrix algebras, Oper. Matrices 7 (2013), no. 2, 399-415.
- Y.-B. Li and Z.-K. Xiao, Additivity of maps on generalized matrix algebras, Electron. J. Linear Alegbra 22 (2011), 743-757.
- X. Liang, F. Wei, Z. Xiao, and A. Fosner, Centralizing traces and Lie triple isomor-phisms on generalized matrix algebras, Linear Multilinear Algebra 63 (2015), no. 9, 1786-1816. https://doi.org/10.1080/03081087.2014.974490
- K. Morita, Duality for modules and its applications to the theory of rings with minimum condition, Sci. Rep. Tokyo Kyoiku Diagaku Sect. A 6 (1958), 83-142.
- F. Wei and Z. Xiao, Commuting traces and Lie isomorphisms on generalized matrix algebras, Oper. Matrices 8 (2014), no. 3, 821-847.
- Z.-K. Xiao, Jordan derivations of incidence algebras, Rocky Mountain J. Math. 45 (2015), no. 4, 1357-1368. https://doi.org/10.1216/RMJ-2015-45-4-1357
- Z.-K. Xiao and F. Wei, Commuting mappings of generalized matrix algebras, Linear Algebra Appl. 433 (2010), no. 11-12, 2178-2197. https://doi.org/10.1016/j.laa.2010.08.002
- Z.-K. Xiao and F. Wei, Jordan higher derivations on triangular algebras, Linear Algebra Appl. 433 (2010), no. 10, 2615-2622.
- Z.-K. Xiao and F. Wei, Jordan higher derivations on some operator algebras, Houston J. Math. 38 (2012), no. 1, 275-293.
- J.-H. Zhang and W.-Y. Yu, Jordan derivations of triangular algebras, Linear Algebra Appl. 419 (2006), no. 1, 251-255. https://doi.org/10.1016/j.laa.2006.04.015