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In this paper, we introduce the notion of generalized leftderivation on a ring R and prove that every generalized Jordan left deriva-tion on a 2-torsion free prime ring is a generalized left derivation on R.Some related results are also obtained.
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참고문헌 (19)
참고문헌 신청
B. Hvala / 1998 / Generalized derivations in rings / Communications in Algebra 26 (4) : 1147 ~ 1166
B. Zalar / 1991 / On centralizers of semiprime rings / COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE 32 (4) : 609 ~ 614
E. C. Posner / 1957 / Derivations in prime rings / Proceedings of the American Mathematical Society 8 : 1093 ~ 1100
I. N. Herstein / 1957 / Jordan derivations of prime rings / Proceedings of the American Mathematical Society 8 : 1104 ~ 1110
I. N. Herstein / 1969 / Topics in Ring Theory / Univ. of Chicago Press
B. Zalar / 1991 / On centralizers of semiprime rings / COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE 32 (4) : 609 ~ 614
E. C. Posner / 1957 / Derivations in prime rings / Proceedings of the American Mathematical Society 8 : 1093 ~ 1100
I. N. Herstein / 1957 / Jordan derivations of prime rings / Proceedings of the American Mathematical Society 8 : 1104 ~ 1110
I. N. Herstein / 1969 / Topics in Ring Theory / Univ. of Chicago Press
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