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Ideals, centralizers and symmetric bi-derivations on prime rings. (English) Zbl 1451.16035

Summary: The purpose of the present paper is to prove some results concerning symmetric biderivations on an ideal of a ring, which are of independent interest. More precisely, we extend a result of M. Brešar [J. Algebra 156, No. 2, 385–394 (1993; Zbl 0773.16017)].

MSC:

16W25 Derivations, actions of Lie algebras
16N60 Prime and semiprime associative rings

Citations:

Zbl 0773.16017
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