Alternative algebras admitting derivations with invertible values and invertible derivations

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.

References in corpus (4)

• $\delta$-superderivations of simple finite-dimensional Jordan and Lie superalgebras
• $\delta$-derivations of simple Jordan algebras and superalgebras
• $\delta$-superderivations of semisimple Jordan superalgebras
• δ-derivations of semisimple structurable algebras

Cited by in corpus (7)

• Generalized derivations of (color) n-ary algebras
• A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations
• Non-associative algebraic structures: classification and structure
• Commuting maps on alternative rings
• The structure of simple noncommutative Jordan superalgebras
• On The Kantor Product
• Jordan algebras admitting derivations with invertible values