! k,ao:[t] Now, in order to obtain f3' we first lift a* to some total ordering f3* of W,ao:[t]. For this consider the prime ideal m,ao:[t] of W,ao:[t], where m,ao: is the maximal is a valuation ring of ideal of W,ao:. Then the localization V =(W,ao:[t]) mf3,,[t] k(f3)(t) with residue field k,ao:(t). In fact, let x = P/Q, where P, Q E W,ao:[t].

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