On operators preserving commutativity
نویسندگان
چکیده
منابع مشابه
On strong commutativity-preserving maps
Let R be a ring with center Z(R). We write the commutator [x, y] = xy− yx, (x, y ∈ R). The following commutator identities hold: [xy,z] = x[y,z] + [x,z]y; [x, yz] = y[x,z] + [x, y]z for all x, y,z ∈ R. We recall that R is prime if aRb = (0) implies that a= 0 or b = 0; it is semiprime if aRa = (0) implies that a = 0. A prime ring is clearly a semiprime ring. A mapping f : R→ R is called centrali...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1986
ISSN: 0022-1236
DOI: 10.1016/0022-1236(86)90084-4