[FOM] Ring Theory/Question

pax0 at seznam.cz pax0 at seznam.cz
Mon Jul 29 08:56:13 EDT 2013

Dear All,
let R be a ring.
It is obvious that the following inclusions hold

R ⊆ R[lambda] ⊆ R[[lambda]] ⊆ R((lambda)).

Here, R[lambda] is the ring of polynomials in the variable lambda,
R[[lambda]] is the ring of formal power series over R,
and R((lambda)) is the ring of Laurent series.

Q. ***Can I put in general the quotient field K of R[lambda] somewhere in 
this chain?***

Any justification is welcome.
Jan Pax

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