참고문헌
- M. Ashraf and J. Vukman, On derivations and commutativity in semi-prime rings, Aligarh Bull. Math. 18 (1999), 29-38.
- W. E. Baxter and W. S. Martindale III, Jordan homomorphisms of semiprime rings, J. Algebra 56 (1979), no. 2, 457-471. https://doi.org/10.1016/0021-8693(79)90349-1
- K. I. Beidar, Y. Fong, P.-H. Lee, and T.-L. Wong, On additive maps of prime rings satisfying the engel condition, Comm. Algebra 25 (1997), no. 12, 3889-3902. https://doi.org/10.1080/00927879708826093
- K. I. Beidar, W. S. Martindale III, and A. V. Mikhalev, Rings with generalized identities, Marcel Dekker, Inc., New York, 1996.
- M. Bresar, On a generalization of the notion of centralizing mappings, Proc. Amer. Math. Soc. 114 (1992), no. 3, 641-649. https://doi.org/10.1090/S0002-9939-1992-1072330-X
- M. Bresar, Centralizing mappings and derivations in prime rings, J. Algebra 156 (1993), no. 2, 385-394. https://doi.org/10.1006/jabr.1993.1080
- M. Bresar, Commuting traces of biadditive mappings, commutativity preserving mappings and Lie mappings, Trans. Amer. Math. Soc. 335 (1993), no. 2, 525-546. https://doi.org/10.1090/S0002-9947-1993-1069746-X
- M. Bresar, On skew-commuting mappings of rings, Bull. Austral. Math. Soc. 47 (1993), no. 2, 291-296. https://doi.org/10.1017/S0004972700012521
- M. Bresar and B. Hvala, On additive maps of prime rings, Bull. Austral. Math. Soc. 51 (1995), no. 3, 377-381. https://doi.org/10.1017/S0004972700014209
- M. Bresar and B. Hvala, On additive maps of prime rings. II, Publ. Math. Debrecen 54 (1999), no. 1-2, 39-54.
- M. Bresar and J. Vukman, On some additive mappings in rings with involution, Aequationes Math. 38 (1989), no. 2-3, 178-185. https://doi.org/10.1007/BF01840003
- M. Bresar and J. Vukman, On left derivations and related mappings, Proc. Amer. Math. Soc. 110 (1990), no. 1, 7-16. https://doi.org/10.1090/S0002-9939-1990-1028284-3
- M. Bresar and J. Vukman, Derivations of noncommutative Banach algebras, Arch. Math. (Basel) 59 (1992), no. 4, 363-370. https://doi.org/10.1007/BF01197053
- C. L. Chuang, GPIs having coefficients in Utumi quotient rings, Proc. Amer. Math. Soc. 103 (1988), no. 3, 723-728. https://doi.org/10.1090/S0002-9939-1988-0947646-4
- J. S. Erickson, W. S. Martindale III, and J. M. Osborn, Prime nonassociative algebras, Pacific J. Math. 60 (1975), no. 1, 49-63. https://doi.org/10.2140/pjm.1975.60.49
- C. Faith and Y. Utumi, On a new proof of Litoff's theorem, Acta Math. Acad. Sci. Hungar 14 (1963), 369-371. https://doi.org/10.1007/BF01895723
- A. Fosner, M. Fosner, and J. Vukman, An identity with derivations on rings and Banach algebras, Demonstratio Math. 41 (2008), no. 3, 525-530.
- A. Fosner and J. Vukman, Some results concerning additive mappings and derivations on semiprime rings, Publ. Math. Debrecen 78 (2011), no. 3-4, 575-581. https://doi.org/10.5486/PMD.2011.4792
- P.-H. Lee and T.-L. Wong, Derivations cocentralizing Lie ideals, Bull. Inst. Math. Acad. Sinica 23 (1995), no. 1, 1-5.
- W. S.Martindale III, Prime rings satisfying a generalized polynomial identity, J. Algebra 12 (1969), 576-584. https://doi.org/10.1016/0021-8693(69)90029-5
- E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093-1100. https://doi.org/10.1090/S0002-9939-1957-0095863-0
- J. Vukman, Commuting and centralizing mappings in prime rings, Proc. Amer. Math. Soc. 109 (1990), no. 1, 47-52. https://doi.org/10.1090/S0002-9939-1990-1007517-3
- J. Vukman, On derivations in prime rings and Banach algebras, Proc. Amer. Math. Soc. 116 (1992), no. 4, 877-884. https://doi.org/10.1090/S0002-9939-1992-1072093-8
- J. Vukman, Derivations on semiprime rings, Bull. Austral. Math. Soc. 53 (1996), no. 3, 353-359. https://doi.org/10.1017/S000497270001710X
- J. Vukman, Identities with derivations on rings and Banach algebras, Glas. Mat. Ser. III 40(60) (2005), no. 2, 189-199. https://doi.org/10.3336/gm.40.2.01
-
J. Vukman, On
${\alpha}$ -derivations of prime and semiprime rings, Demonstratio Math. 38 (2005), no. 2, 811-817. - J. Vukman, On left Jordan derivations of rings and Banach algebras, Aequationes Math. 75 (2008), no. 3, 260-266. https://doi.org/10.1007/s00010-007-2872-z
- J. Vukman and I. Kosi-Ulbl, On some equations related to derivations in rings, Int. J. Math. Math. Sci. 2005 (2005), no. 17, 2703-2710. https://doi.org/10.1155/IJMMS.2005.2703
피인용 문헌
- Remarks on Certain Identities with Derivations on Semiprime Rings vol.66, pp.10, 2015, https://doi.org/10.1007/s11253-015-1037-9
- On skew-commuting mappings in semiprime rings vol.66, pp.4, 2016, https://doi.org/10.1515/ms-2015-0183