Before proceeding I do need some help please.
#24031  <https://trac.sagemath.org/ticket/24031> Coercion between Matrices 
over orders and over the number field

also coercion between Vectors over orders and over the quotient 
field/number field is not working.  I am somewhat lost in the coercion 
model and do not know where to start here. 


As for the FGP_Module class, or in general:


Often matrices/vectors/scalar over the order and over the quotient field 
are multiplied.

Should one try to push as much as possible into the quotient field from the 
beginning? Or is it O.K. to rely on the coercion model. It is certainly 
more convenient to rely on coercion.

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