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Skew -Derivations on Semiprime Rings
For a ring with an automorphism , an -additive mapping
is called a skew
-derivation with respect to if it is always a -derivation
of for each argument. Namely, it is always a -derivation of for
the argument being left once arguments are fixed by elements in
. In this short note, starting from Bre\v{s}ar Theorems, we prove that a
skew -derivation () on a semiprime ring must map into the
center of .Comment: 8 page
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