Realization of a certain class of semi-groups as value semi-groups of valuations

نویسنده

  • Mohammad Moghaddam
چکیده

Given a well-ordered semi-group Γ with a minimal system of generators of ordinal type at most ωn 1 and of rational rank r, which satisfies a positivity and increasing condition, we construct a zero-dimensional valuation centered on the ring of polynomials with r variables such that the semigroup of the values of the polynomial ring is equal to Γ. The construction uses a generalization of Favre and Jonsson’s version of MacLane’s sequence of key-polynomials [3].

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تاریخ انتشار 2008