Generalized Derivations of Multiplicative n-Ary Hom- $$\Omega $$ Ω Color Algebras
نویسندگان
چکیده
منابع مشابه
On (anti-)multiplicative Generalized Derivations
Let R be a semiprime ring and let F, f : R → R be (not necessarily additive) maps satisfying F (xy) = F (x)y + xf(y) for all x, y ∈ R. Suppose that there are integers m and n such that F (uv) = mF (u)F (v) + nF (v)F (u) for all u, v in some nonzero ideal I of R. Under some mild assumptions on R, we prove that there exists c ∈ C(I) such that c = (m + n)c2, nc[I, I] = 0 and F (x) = cx for all x ∈...
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ژورنال
عنوان ژورنال: Bulletin of the Malaysian Mathematical Sciences Society
سال: 2017
ISSN: 0126-6705,2180-4206
DOI: 10.1007/s40840-017-0486-8