Finite-dimensional simple Hom-alternative algebras are exactly twists of semi-simple alternative algebras by automorphisms, and their bimodules with invertible module twist are equivalent to bimodules of the untwisted algebra.
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Structures and bimodules of simple Hom-alternative algebras
Finite-dimensional simple Hom-alternative algebras are exactly twists of semi-simple alternative algebras by automorphisms, and their bimodules with invertible module twist are equivalent to bimodules of the untwisted algebra.