Alternative algebras admitting derivations with invertible values and invertible derivations
Ivan Kaygorodov, Yury Popov

TL;DR
This paper characterizes alternative algebras that admit derivations with invertible values and establishes an analogue of Moens's Theorem for such structures.
Contribution
It provides a complete description of alternative algebras with invertible derivations and extends Moens's Theorem to this context.
Findings
All alternative algebras with invertible derivations are described.
An analogue of Moens's Theorem is proved for these algebras.
The results generalize previous theorems in algebra theory.
Abstract
We descibed all alternative algebras with invertible derivations (the analogue of Bergen-Herstein-Lanski's Theorem) and proved the analogue of Moens's Theorem.
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