On Relations between Non-Archimedean Generalized Power Series Spaces

We study relations between non-Archimedean generalized power series spaces

and

D_g(b,s) D g ( b , s )

. We investigate when

D_f(a,r) D f ( a , r )

has a subspace (or a quotient) isomorphic to

D_g(b,s) D g ( b , s )

.