Generalized derivations acting on multilinear polynomials in prime rings

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1. Albaş, E., 10.18514/MMN.2013.499, Miskolc Math. Notes 14 (2013), 3-9. (2013) Zbl1289.16082MR3070683DOI10.18514/MMN.2013.499
2. Ali, S., Huang, S., On generalized Jordan $(\alpha ,\beta )$-derivations that act as homomorphisms or anti-homomorphisms, J. Algebra Comput. Appl. (electronic only) 1 (2011), 13-19. (2011) Zbl1291.16038MR2862508
3. Argaç, N., Filippis, V. De, 10.1142/S1005386711000836, Algebra Colloq. 18, Spec. Iss. 1 (2011), 955-964. (2011) Zbl1297.16037MR2860377DOI10.1142/S1005386711000836
4. Asma, A., Rehman, N., Shakir, A., 10.1023/B:AMHU.0000003893.61349.98, Acta Math. Hungar 101 (2003), 79-82. (2003) Zbl1053.16025MR2011464DOI10.1023/B:AMHU.0000003893.61349.98
5. Bell, H. E., Kappe, L. C., 10.1007/BF01953371, Acta Math. Hung. 53 (1989), 339-346 9999DOI99999 10.1007/BF01953371 . (1989) Zbl0705.16021MR1014917DOI10.1007/BF01953371
6. Bergen, J., Herstein, I. N., Keer, J. W., 10.1016/0021-8693(81)90120-4, J. Algebra 71 (1981), 259-267. (1981) Zbl0463.16023MR0627439DOI10.1016/0021-8693(81)90120-4
7. Carini, L., Filippis, V. De, Scudo, G., 10.1142/S1005386713000680, Algebra Colloq. 20 (2013), 711-720. (2013) Zbl1285.16036MR3116800DOI10.1142/S1005386713000680
8. Chuang, C.-L., 10.1007/BF02779669, Isr. J. Math. 59 (1987), 98-106. (1987) Zbl0631.16015MR0923664DOI10.1007/BF02779669
9. Chuang, C.-L., 10.2307/2046841, Proc. Am. Math. Soc. 103 (1988), 723-728. (1988) Zbl0656.16006MR0947646DOI10.2307/2046841
10. Filippis, V. De, 10.1007/s10114-009-7343-0, Acta Math. Sin., Engl. Ser. 25 (2009), 1965-1974. (2009) Zbl1192.16042MR2578635DOI10.1007/s10114-009-7343-0
11. Filippis, V. De, Vincenzo, O. M. Di, 10.1080/00927872.2011.553859, Commun. Algebra 40 (2012), 1918-1932. (2012) Zbl1258.16043MR2945689DOI10.1080/00927872.2011.553859
12. Filippis, V. De, Scudo, G., 10.5486/PMD.2015.7070, Publ. Math. 86 (2015), 187-212. (2015) Zbl1341.16040MR3300586DOI10.5486/PMD.2015.7070
13. Dhara, B., Derivations with Engel conditions on multilinear polynomials in prime rings, Demonstr. Math. 42 (2009), 467-478. (2009) Zbl1188.16037MR2554943
14. Dhara, B., 10.1007/s13366-011-0051-9, Beitr. Algebra Geom. 53 (2012), 203-209. (2012) Zbl1242.16039MR2890375DOI10.1007/s13366-011-0051-9
15. Dhara, B., Huang, S., Pattanayak, A., Generalized derivations and multilinear polynomials in prime rings, Bull. Malays. Math. Sci. Soc. 36 (2013), 1071-1081. (2013) Zbl1281.16046MR3108796
16. Dhara, B., Rehman, N. U., Raza, M. A., 10.18514/MMN.2015.1343, Miskolc Math. Notes 16 (2015), 769-779. (2015) Zbl1349.16068MR3454141DOI10.18514/MMN.2015.1343
17. Dhara, B., Sahebi, S., Rehmani, V., 10.1515/ms-2015-0065, Math. Slovaca 65 (2015), 963-974. (2015) Zbl06534094MR3433047DOI10.1515/ms-2015-0065
18. Erickson, T. S., III, W. S. Martindale, Osborn, J. M., 10.2140/pjm.1975.60.49, Pac. J. Math. 60 (1975), 49-63. (1975) Zbl0355.17005MR0382379DOI10.2140/pjm.1975.60.49
19. Gusić, I., 10.3336/gm.40.1.05, Glas. Mat., III. Ser. 40 (2005), 47-49. (2005) Zbl1072.16031MR2195859DOI10.3336/gm.40.1.05
20. Jacobson, N., 10.1090/coll/037, American Mathematical Society Colloquium Publications 37, Revised edition American Mathematical Society, Providence (1956). (1956) Zbl0073.02002MR0222106DOI10.1090/coll/037
21. Kharchenko, V. K., 10.1007/BF01670115, Algebra Logic 17 (1978), 155-168. English. Russian original translation from Algebra Logika 17 1978 220-238. (1978) Zbl0423.16011MR0541758DOI10.1007/BF01670115
22. Lanski, C., 10.2140/pjm.1988.134.275, Pac. J. Math. 134 (1988), 275-297. (1988) Zbl0614.16028MR0961236DOI10.2140/pjm.1988.134.275
23. Lanski, C., 10.2307/2160113, Proc. Am. Math. Soc. 118 (1993), 731-734. (1993) Zbl0821.16037MR1132851DOI10.2307/2160113
24. Lee, T.-K., Semiprime rings with differential identities, Bull. Inst. Math., Acad. Sin. 20 (1992), 27-38. (1992) Zbl0769.16017MR1166215
25. Lee, T.-K., 10.1080/00927879908826682, Commun. Algebra 27 (1999), 4057-4073. (1999) Zbl0946.16026MR1700189DOI10.1080/00927879908826682
26. Lee, P.-H., Lee, T.-K., 10.1090/S0002-9939-96-03351-5, Proc. Am. Math. Soc. 124 (1996), 2625-2629. (1996) Zbl0859.16031MR1327023DOI10.1090/S0002-9939-96-03351-5
27. Leron, U., 10.2307/1997300, Trans. Am. Math. Soc. 202 (1975), 97-103. (1975) Zbl0297.16010MR0354764DOI10.2307/1997300
28. III, W. S. Martindale, 10.1016/0021-8693(69)90029-5, J. Algebra 12 (1969), 576-584. (1969) Zbl0175.03102MR0238897DOI10.1016/0021-8693(69)90029-5
29. Posner, E. C., 10.2307/2032686, Proc. Am. Math. Soc. 8 (1957), 1093-1100. (1957) Zbl0082.03003MR0095863DOI10.2307/2032686
30. Rehman, N. U., 10.3336/gm.39.1.03, Glas. Mat., III. Ser. 39 (2004), 27-30. (2004) Zbl1047.16019MR2055383DOI10.3336/gm.39.1.03
31. Wang, Y., You, H., 10.1007/s10114-005-0840-x, Acta Math. Sin., Engl. Ser. 23 (2007), 1149-1152. (2007) Zbl1124.16031MR2319944DOI10.1007/s10114-005-0840-x