Kostant's weighting factor in Macdonald's identities

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On Identities with Additive Mappings in Rings

begin{abstract} If $F,D:Rto R$ are additive mappings which satisfy $F(x^{n}y^{n})=x^nF(y^{n})+y^nD(x^{n})$ for all $x,yin R$. Then, $F$ is a generalized left derivation with associated Jordan left derivation $D$ on $R$. Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given in support of the theorems. end{abstract}

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ژورنال

عنوان ژورنال: Tsukuba Journal of Mathematics

سال: 1982

ISSN: 0387-4982

DOI: 10.21099/tkbjm/1496159539