REFERENCES
- Albert , A. A. ( 1939 ). Structure of Algebras . New York : American Mathematical Society .
- Beelen , P. , Gramlich , R. ( 2002 ). On anti-automorphisms of the first kind in division rings . Proc. Amer. Math. Soc. 130 ( 12 ): 3745 – 3746 .
- Beidar , K. I. , Brešar , M. , Chebotar , M. A. ( 1999 ). Generalized functional identities with (anti-) automorphisms and derivations on prime rings, I . J. Algebra 215 ( 2 ): 644 – 665 .
- Beidar , K. I. , Martindale , W. S. III , Mikhalev , A. A. ( 1996 ). Rings with Generalized Identities . Monographs and Textbooks in Pure and Applied Mathematics , Vol. 196 . New York : Marcel Dekker, Inc .
- Beidar , K. I. , and Martindale , W. S. 3rd ( 1998 ). On functional identities in prime rings with involution . J. Algebra 203 ( 2 ): 491 – 532 .
- Brešar , M. , Chebotar , M. A. , Martindale , W. S. III ( 2007 ). Functional identities. Frontiers in Mathematics . Basel : Birkhauser Verlag .
- Brešar , M. , Vukman , J. ( 1989 ). On some additive mappings in rings with involution . Aequationes Math. 38 ( 2–3 ): 178 – 185 .
- Chebotar , M. A. ( 1998 ). Functional identities in prime rings . Russian Math. Surveys 53 ( 1 ): 210 – 211 .
- Chuang , C.-L. , Fošner , A. , Lee , T.-K. ( 2013 ). Jordan τ-derivations of locally matrix rings , Algebr. Represent. Theory 16 ( 3 ): 755 – 763 .
- Chuang , C.-L. ( 1988 ). GPIs having coefficients in Utumi quotient rings . Proc. Amer. Math. Soc. 103 ( 3 ): 723 – 728 .
- Cusack , J. M. ( 1975 ). Jordan derivations on rings . Proc. Amer. Math. Soc. 53 ( 2 ): 321 – 324 .
- Draxl , P. K. ( 1983 ). Skew Fields London Mathematical Society Lecture Note Series , Vol. 81 . Cambridge : Cambridge University Press .
- Fošner , A. , Lee , T.-K. ( 2014 ). Jordan *-derivations of finite-dimensional semiprime algebras . Canad. Math. Bull. 57 ( 1 ): 51 – 60 .
- Herstein , I. N. ( 1957 ). Jordan derivations of prime rings . Proc. Amer. Math. Soc. 8 ( 6 ): 1104 – 1110 .
- Jacobson , N. ( 1975 ). PI-Algebras: An introduction . Lecture Notes in Mathematics , Vol. 441 . Berlin–New York : Springer-Verlag .
- Jacobson , N. ( 1989 ). Basic Algebra. II. , 2nd ed. New York : W. H. Freeman and Company .
- Lee , T.-K. ( 2004 ). Generalized skew derivations characterized by acting on zero products . Pacific J. Math. 216 ( 2 ): 293 – 301 .
- Lee , T.-K. , Zhou , Y. ( 2014 ). Jordan *-derivations of prime rings . J. Algebra Appl. 13 ( 4 ): 9 pages .
- Lee , T.-K. , Wong , T.-L. , Zhou , Y. The structure of Jordan *-derivations of prime rings , Linear Multilinear Algebra. Published online on February 14, 2014 (http://dx.doi.org/10.1080/03081087.2013.869593) .
- Martindale , W. S. 3rd ( 1969 ). Prime rings satisfying a generalized polynomial identity . J. Algebra 12 : 576 – 584 .
- Rowen , L. ( 1973 ). Some results on the center of a ring with polynomial identity . Bull. Amer. Math. Soc. 79 : 219 – 223 .
- Šemrl , P. ( 1991 ). Quadratic functionals and Jordan *-derivations . Studia Math. 97 ( 3 ): 157 – 165 .
- Šemrl , P. ( 1993 ). Quadratic and quasi-quadratic functionals . Proc. Amer. Math. Soc. 119 ( 4 ): 1105 – 1113 .
- Šemrl , P. ( 1994 ). Jordan *-derivations of standard operator algebras . Proc. Amer. Math. Soc. 120 ( 2 ): 515 – 518 .
- Communicated by M. Bresar.