most citedAlternative algebras admitting derivations with invertible values and invertible derivations

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math.RA2012★ 14 cited

Alternative algebras admitting derivations with invertible values and invertible derivations

Ivan Kaygorodov, Yury Popov

We descibed all alternative algebras with invertible derivations (the analogue of Bergen-Herstein-Lanski's Theorem) and proved the analogue of Moens's Theorem.