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In this paper, we investigate the problem of describing the form of Jordan generalized derivations on trivial extension algebras. One of the main results shows, under some conditions, that every Jordan generalized derivation on a trivial extension algebra is the sum of a generalized derivation and an antiderivation. This result extends the study of Jordan generalized derivations on triangular algebras (see [12]), and also it can be considered as a ``generalized" counterpart of the results given on Jordan derivations of a trivial extension algebra (see [11]).
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참고문헌 신청
K. I. Beidar / 1999 / On additive isomorphisms of prime rings preserving polynomials / J. Algebra 217:650~667
D. Benkovic / 2015 / A note on f-derivations of triangular algebras / Aequationes Math. 89(4):1207~1211
D. Benkovic / 2015 / Lie triple derivations of unital algebras with idempotents / Linear Multilinear Algebra 63(1):141~165
D. Benkovic / 2004 / Commuting traces and commutativity preserving maps on triangular algebras / J. Algebra 280(2):797~824
D. Bennis / 2017 / Derivations and the first cohomology group of trivial extension algebras / Mediterr. J. Math. 14(4):18
D. Benkovic / 2015 / A note on f-derivations of triangular algebras / Aequationes Math. 89(4):1207~1211
D. Benkovic / 2015 / Lie triple derivations of unital algebras with idempotents / Linear Multilinear Algebra 63(1):141~165
D. Benkovic / 2004 / Commuting traces and commutativity preserving maps on triangular algebras / J. Algebra 280(2):797~824
D. Bennis / 2017 / Derivations and the first cohomology group of trivial extension algebras / Mediterr. J. Math. 14(4):18
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