The question was not entirely clear and a little ambiguous....basically, 
what I was trying to do was something like this:

For a fixed R and N define a set of algebras:

for i in 1..20 repeat
     S.i := a list of symbols depending on i
     L.i := a list of square N x N R-matrices with entries based on i
     A.i := ALGSC(R, N, S.i, L.i)
     i := i + 1

Tried PrimitiveArray(Type) for various usual types and they all worked fine 
but it didn't seem to allow assigning
the algebra type above.  Perhaps, these types of constructions are only 
possible in Spad as it was pointed out?
  

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