Jordan Derivations on Triangular Matrix Rings
DOI:
https://doi.org/10.17398/Keywords:
Additivity, Jordan derivation, triangular matrix ring, nest algebrasAbstract
Guided by the research line introduced by Martindale III in [5] on the study of the additivity of maps, this article aims establish conditions on triangular matrix rings in order that an map φ satisfying
φ(ab + ba) = φ(a)b + aφ(b) + φ(b)a + bφ(a)
for all a, b in a triangular matrix ring becomes additive.
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References
W.S. Cheung, Commuting maps of triangular algebras, J. London Math. Soc. (2) 63 (1) (2001), 117 – 127.
M. Daif, When is a multiplicative derivation additive?, Internat. J. Math. and Math. Sci. 14 (3) (1991), 615 – 618.
K.R. Davidson, “Nest Algebras”, Pitman Research Notes in Mathematics Series, 191, Longman Scientific & Technical, Harlow, 1988.
B.L.M. Ferreira, Multiplicative maps on triangular n-matrix rings, International Journal of Mathematics, Game Theory and Algebra 23 (2014), 1 – 14.
W.S. Martindale III, When are multiplicative mappings additive?, Proc. Amer. Math. Soc. 21 (1969), 695 – 698.
Y. Wang, The additivity of multiplicative maps on rings, Communications in Algebra 37 (7) (2009), 2351 – 2356.
Y.Wang, Additivity of multiplicative maps on triangular rings, Linear Algebra and its Applications 434 (3) (2011), 625 – 635.
