References
- Beidar KI, Martindale WS, Mikhalev AA. Rings with generalized identities. Vol. 196, Monographs and textbooks in pure and applied mathematics. New York (NY): Marcel Dekker; 1996.
- Herstein IN. Jordan derivations of prime rings. Proc. Amer. Math. Soc. 1957;8:1104–1110.
- Cusack JM. Jordan derivations on rings. Proc. Amer. Math. Soc. 1975;53:321–324.
- Brešar M. Jordan derivations on semiprime rings. Proc. Amer. Math. Soc. 1988;104:1003–1006.
- Brešar M. Jordan derivations revisited. Math. Proc. Cambridge Philos. Soc. 2005;139:411–425.
- Brešar M, Chebotar MA, Martindale WS III. Functional identities. Frontiers in mathematics. Basel: Birkhauser Verlag; 2007.
- Lee T-K, Lin J-H. Jordan derivations of prime rings with characteristic two. Linear Algebra Appl. 2014;462:1–15.
- De Filippis V, Mamouni A, Oukhtite L. Generalized Jordan semiderivations in prime rings. Canad. Math. Bull. 2015. doi:10.4153/CMB-2014-066-9.
- Lee T-K, Wong T-L. Right centralizers of semiprime rings. Comm. Algebra. 2014;42:2923–2927.
- Beidar KI, Brešar M, Chebotar MA. Generalized functional identities with (anti-)automorphisms and derivations on prime rings, I. J. Algebra. 1999;215:644–665.
- Beidar KI, Martindale WS III. On functional identities in prime rings with involution. J. Algebra. 1998;203:491–532.
- Martindale WS III. Prime rings satisfying a generalized polynomial identity. J. Algebra. 1969;12:576–584.
- Bergen J. Derivations in prime rings. Canad. Math. Bull. 1983;26:267–270.
- Brešar M. Semiderivations of prime rings. Proc. Amer. Math. Soc. 1990;108:859–860.
- Chuang C-L. On the structure of semiderivations in prime rings. Proc. Amer. Math. Soc. 1990;108:867–869.
- Chuang C-L. GPIs having coefficients in Utumi quotient rings. Proc. Amer. Math. Soc. 1988;103:723–728.
- De Filippis V, Mamouni A, Oukhtite L. Semiderivations satisfying certain algebraic identities on Jordan ideals. ISRN Algebra. 2013;2013: 7 p.
- Lee T-K. A note on rings without nonzero nil one-sided ideals. Chinese J. Math. 1995;23:383–385.
- Kharchenko VK. Generalized identities with automorphisms. Algebra i Logika (Russian). 1975;14:215–237.
- Montgomery S. Fixed rings of finite automorphism groups of associative rings. Vol. 818, Lecture notes in mathematics. Berlin: Springer; 1980.
- Lee T-K, Liu K-S. The Skolem-Noether theorem for semiprime rings satisfying a strict identity. Comm. Algebra. 2007;35:1949–1955.
- Chen H-Y. Generalized derivations cocentralizing polynomials. Comm. Algebra. 2013;41:2783–2798.
- Herstein IN. Topics in ring theory. Chicago: The University of Chicago Press; 1969.
- Rowen L. Some results on the center of a ring with polynomial identity. Bull. Amer. Math. Soc. 1973;79:219–223.
- Werner WL. A double centralizer theorem for simple associative algebras. Can. J. Math. 1969;21:477–478.
- Koşan MT, Lee T-K, Zhou Y. Bilinear forms on matrix algebras vanishing on zero products of xy and yx. Linear Algebra Appl. 2014;453:110–124.
- Lee T-K, Zhou Y. An identity with generalized derivations. J. Algebra Appl. 2009;8:307–317.
- Albert AA, Muckenhoupt B. On matrices of trace zeros. Michigan Math. J. 1957;4:1–3.