Abstract
The main result of this paper is a Representation Theorem, determining when a commutative ring A is homomorphic to a subring of the ring C(X,R((t))) of continuous R((t))-valued functions on a compact space X. We also give an algebraic characterization of commutative rings A isomorphic to some C(X,R((t))): they satisfy algebraic conditions for a,b∈A with a2−tb2∈A2. As a corollary, we deduce when a commutative ring A⊇R(t) is isomorphic to R((t)).
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