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Let A {A} be an algebra. A mapping θ: A ⟶ A: {A} {A} is called a 2 2 -local automorphism if for every a, b ∈ A a, b {A} there is an automorphism θ a, b: A ⟶ A ₀, ₁: {A} {A}, depending on a a and b b, such that θ a, b (a) = θ (a) ₀, ₁ (a) = (a) and θ a, b (b) = θ (b) </m
Peter Šemrl (Mon,) studied this question.
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