Abstract
Let \( \mathcal {A} \) be an algebra. Under particular assumptions on \(\mathcal {A}\), in this paper we determine the explicit form of any map \( \psi \) on \( \mathcal {A} \) which satisfies \(\psi (A) \psi (P) + \eta \psi (P) \psi (A) = AP + \eta P A\) for each \(A \in \mathcal {A},\) some idempotent or projection \(P \in \mathcal {A}\) and some \(\eta \in \mathbb {C}.\)
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Taghavi, A., Kolivand, F. & Rohi, H. A Note on Strong \(\eta \)-Lie Products Preserving Maps on Some Algebras. Mediterr. J. Math. 14, 13 (2017). https://doi.org/10.1007/s00009-016-0824-3
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DOI: https://doi.org/10.1007/s00009-016-0824-3