Dear Willem,
Thanks!
This is certainly better than adding elements of
Basis(M) with coefficients given by Basis(es)[1] that I had to put in my code...

[...]
> gap> W:= Rationals^4;
> gap> M:=LeftAlgebraModule(A,\*,W);
> gap> f:= LeftModuleHomomorphismByImages( W, M, Basis(W), Basis(M) );
> gap> V:=SubAlgebraModule(M,[Image( f, Basis(es)[1] )]);

Best,
Dima

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