Abstract
In this paper we study the additivity of multiplicative Jordan semi-derivations on rings and standard operator algebras.
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References
Bergen, J.: Derivations in prime rings. Can. Math. Bull. 26, 267–270 (1983)
Brešar, M., Šemrl, P.: Elementary operators. Proc. R. Soc. Edinb. Sect. A 129, 1115–1135 (1999)
Chang, J.C.: On semi-derivations of prime rings. Chin. J. Math. 12, 255–262 (1984)
Daif, M.N.: When is a multiplicative derivation additive? Int. J. Math. Math. Sci. 14, 615–618 (1991)
De Filippis, V., Mamouni, A., Oukhtite, L.: Generalized Jordan semiderivations in prime rings. Can. Math. Bull. 58, 263–270 (2015)
Jing, W., Lu, F.: Additivity of Jordan (triple) derivations on rings. Commun. Algebra 40, 2700–2719 (2012)
Li, P., Jing, W.: Jordan elementary maps on rings. Linear Algebra Appl. 382, 237–245 (2004)
Lu, F.: Jordan derivable maps of prime rings. Commun. Algebra 38, 4430–4440 (2010)
Martindale, W.S., III.: When are multiplicative mappings additive? Proc. Am. Math. Soc. 21, 695–698 (1969)
Siddeeque, M.A., Khan, N.: When are multiplicative semi-derivations additive? Georgian Math. J. 29, 123–137 (2022)
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The authors grateful thank the anonymous reviewer for his/her valuable suggestions and comments.
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da Motta Ferreira, J.C., Bruno Marietto, M.d.G. Additivity of multiplicative Jordan semi-derivations on rings and standard operator algebras. Ricerche mat (2024). https://doi.org/10.1007/s11587-024-00865-6
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DOI: https://doi.org/10.1007/s11587-024-00865-6