Identities related to generalized derivation on ideal in prime rings

Sweta Tiwari1, Rajendra K. Sharma1, Basudeb Dhara2
1Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India
2Department of Mathematics, Belda College, Belda, Paschim Medinipur, 721424, India

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Tài liệu tham khảo

Albas, E.: Generalized derivations on ideals of prime rings. Miskolc Math. Notes 14(1), 3–9 (2013)

Ali, S., Dhara, B., Dar, N.A., Khan, A.N.: On Lie ideals with multiplicative (generalized)-derivations in prime and semiprime rings. Beitr. Algebra Geom. 56(1), 325–337 (2015)

Ali, S., Dhara, B., Foner, A.: Some commutativity theorems concerning additive mappings and derivations on semiprime rings. In: Kwak et al. (eds.) Proceedings of 6th China-Japan-Korea Conference, pp. 133–141. World Scientific, Singapore (2011)

Ali, A., Rehman, N., Ali, S.: On lie ideals with derivations as homomorphisms and anti-homomorphisms. Acta Math. Hungar. 101(1–2), 79–82 (2003)

Ashraf, M., Ali, A., Ali, S.: Some commutativity theorem for prime rings with generalized derivations. Southeast Asian Bull. Math. 31, 415–421 (2007)

Ashraf, M., Rehman, N.: On derivations and commutativity in prime rings. East-West J. Math. 3(1), 87–91 (2001)

Bell, H.E., Daif, M.N.: On derivations and commutativity in prime rings. Acta Math. Hungar. 66(4), 337–343 (1995)

Bell, H.E., Kappe, L.C.: Rings in which derivations satisfy certain algebraic conditions. Acta Math. Hungar. 53, 339–346 (1989)

Bell, H.E., Martindale III, W.S.: Centralizing mappings of semiprime rings. Can. Math. Bull. 30(1), 92–101 (1987)

Brešar, M.: On the distance of the composition of two derivations to the generalized derivations. Glasgow Math. J. 33, 89–93 (1991)

Daif, M.N., Bell, H.E.: On remark on derivations on semiprime rings. Internat. J. Math. Math. Sci. 15(1), 205–206 (1992)

Dhara, B., Kar, S., Mondal, S.: Commutativity theorems on prime and semiprime rings with generalized (s, t)-derivations. Boletim da Sociedade Paranaense de Matemtica 32(1), 109–122 (2014)

Dhara, B., Kar, S., Mondal, S.: A result on generalized derivations on Lie ideals in prime rings. Beitr. Algebra Geom. 54(2), 677–682 (2013)

Dhara, B., Ali, A., Pattanayak, A.: n generalized derivations and Lie ideals in prime rings. Tamsui Oxf. J. Math. Inform.Sci. 29(4), 427–434 (2013)

Dhara, B.: Generalized derivations acting as a homomorphism or anti-homomorphism in semiprime rings. Beitr. Algebra Geom. 53, 203–209 (2012)

Dhara, B.: Remarks on generalized derivations in prime and semiprime rings. Internat. J. Math. Math. Sci. 2010, 6 (2010)

Kezlan, T.P.: A note on commutativity of semiprime PI-rings. Math. Jpn. 27, 267–268 (1982)

Lee, T.K., Shiue, K.W.: A result on derivations with Engel condition in prime rings. Southeast Asian Bull. Math. 23, 437–446 (1999)

Marubayashi, M., Ashraf, M., Rehman, N., Ali, S.: On generalized $$(\alpha,\beta )$$ ( α , β ) -derivations in prime rings. Algebra Colloq. 17(Spec 1), 865–874 (2010)

Quadri, M.A., Khan, M.S., Rehman, N.: Generalized derivations and commutativity of prime rings. Indian J. Pure Appl. Math. 34(9), 1393–1396 (2003)

Rehman, N.: On generalized derivations as homomorphisms and anti-homomorphisms. Glasnik Matematički 39(1), 27–30 (2004)

Rehman, N.: On commutativity of rings with generalized derivations. Math. J. Okayama Univ. 44, 43–49 (2002)